{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "papermill": {
     "duration": 0.014893,
     "end_time": "2020-04-28T12:08:11.257592",
     "exception": false,
     "start_time": "2020-04-28T12:08:11.242699",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# How many cases of COVID-19 does each U.S. state really have?\n",
    "> Reported U.S. case counts are based on the number of administered tests. Since not everyone is tested, this number is biased. We use Bayesian techniques to estimate the true number of cases.\n",
    "\n",
    "- author: Joseph Richards\n",
    "- image: images/covid-state-case-estimation.png\n",
    "- hide: false\n",
    "- comments: true\n",
    "- categories: [MCMC, US, states, cases]\n",
    "- permalink: /covid-19-us-case-estimation/\n",
    "- toc: false"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "papermill": {
     "duration": 0.009265,
     "end_time": "2020-04-28T12:08:11.277524",
     "exception": false,
     "start_time": "2020-04-28T12:08:11.268259",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "> Warning: This analysis contains the results of a predictive model. There are a number of assumptions made which include some speculation.  Furthermore, this analysis was not prepared or reviewed by an Epidimiologist. Therefore, the assumptions and methods presented should be scrutinized carefully before arriving at any conclusions. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-04-28T12:08:11.303527Z",
     "iopub.status.busy": "2020-04-28T12:08:11.302863Z",
     "iopub.status.idle": "2020-04-28T12:08:15.115455Z",
     "shell.execute_reply": "2020-04-28T12:08:15.114137Z"
    },
    "papermill": {
     "duration": 3.828535,
     "end_time": "2020-04-28T12:08:15.115595",
     "exception": false,
     "start_time": "2020-04-28T12:08:11.287060",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING (theano.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n"
     ]
    }
   ],
   "source": [
    "#hide\n",
    "\n",
    "# Setup and imports\n",
    "%matplotlib inline\n",
    "\n",
    "import warnings\n",
    "warnings.simplefilter('ignore')\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pymc3 as pm\n",
    "import requests\n",
    "\n",
    "from IPython.display import display, Markdown"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-04-28T12:08:15.144289Z",
     "iopub.status.busy": "2020-04-28T12:08:15.143419Z",
     "iopub.status.idle": "2020-04-28T12:08:15.160036Z",
     "shell.execute_reply": "2020-04-28T12:08:15.159503Z"
    },
    "papermill": {
     "duration": 0.034641,
     "end_time": "2020-04-28T12:08:15.160146",
     "exception": false,
     "start_time": "2020-04-28T12:08:15.125505",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "#hide\n",
    "\n",
    "# Data utilities:\n",
    "\n",
    "def get_statewise_testing_data():\n",
    "    '''\n",
    "    Pull all statewise data required for model fitting and\n",
    "    prediction\n",
    "\n",
    "    Returns:\n",
    "    * df_out: DataFrame for model fitting where inclusion\n",
    "        requires testing data from 7 days ago\n",
    "    * df_pred: DataFrame for count prediction where inclusion\n",
    "        only requires testing data from today\n",
    "    '''\n",
    "\n",
    "    # Pull testing counts by state:\n",
    "    out = requests.get('https://covidtracking.com/api/states')\n",
    "    df_out = pd.DataFrame(out.json())\n",
    "    df_out.set_index('state', drop=True, inplace=True)\n",
    "\n",
    "    # Pull time-series of testing counts:\n",
    "    ts = requests.get('https://covidtracking.com/api/states/daily')\n",
    "    df_ts = pd.DataFrame(ts.json())\n",
    "\n",
    "    # Get data from last week\n",
    "    date_last_week = df_ts['date'].unique()[7]\n",
    "    df_ts_last_week = _get_test_counts(df_ts, df_out.index, date_last_week)\n",
    "    df_out['num_tests_7_days_ago'] = \\\n",
    "        (df_ts_last_week['positive'] + df_ts_last_week['negative'])\n",
    "    df_out['num_pos_7_days_ago'] = df_ts_last_week['positive']\n",
    "\n",
    "    # Get data from today:\n",
    "    df_out['num_tests_today'] = (df_out['positive'] + df_out['negative'])\n",
    "\n",
    "    # State population:\n",
    "    df_pop = pd.read_excel(('https://github.com/jwrichar/COVID19-mortality/blob/'\n",
    "                            'master/data/us_population_by_state_2019.xlsx?raw=true'),\n",
    "                           skiprows=2, skipfooter=5)\n",
    "    r = requests.get(('https://raw.githubusercontent.com/jwrichar/COVID19-mortality/'\n",
    "                      'master/data/us-state-name-abbr.json'))\n",
    "    state_name_abbr_lookup = r.json()\n",
    "    \n",
    "    df_pop.index = df_pop['Geographic Area'].apply(\n",
    "        lambda x: str(x).replace('.', '')).map(state_name_abbr_lookup)\n",
    "    df_pop = df_pop.loc[df_pop.index.dropna()]\n",
    "\n",
    "    df_out['total_population'] = df_pop['Total Resident\\nPopulation']\n",
    "\n",
    "    # Tests per million people, based on today's test coverage\n",
    "    df_out['tests_per_million'] = 1e6 * \\\n",
    "        (df_out['num_tests_today']) / df_out['total_population']\n",
    "    df_out['tests_per_million_7_days_ago'] = 1e6 * \\\n",
    "        (df_out['num_tests_7_days_ago']) / df_out['total_population']\n",
    "\n",
    "    # People per test:\n",
    "    df_out['people_per_test'] = 1e6 / df_out['tests_per_million']\n",
    "    df_out['people_per_test_7_days_ago'] = \\\n",
    "        1e6 / df_out['tests_per_million_7_days_ago']\n",
    "\n",
    "    # Drop states with messed up / missing data:\n",
    "    # Drop states with missing total pop:\n",
    "    to_drop_idx = df_out.index[df_out['total_population'].isnull()]\n",
    "    print('Dropping %i/%i states due to lack of population data: %s' %\n",
    "          (len(to_drop_idx), len(df_out), ', '.join(to_drop_idx)))\n",
    "    df_out.drop(to_drop_idx, axis=0, inplace=True)\n",
    "\n",
    "    df_pred = df_out.copy(deep=True)  # Prediction DataFrame\n",
    "\n",
    "    # Criteria for model fitting:\n",
    "    # Drop states with missing test count 7 days ago:\n",
    "    to_drop_idx = df_out.index[df_out['num_tests_7_days_ago'].isnull()]\n",
    "    print('Dropping %i/%i states due to lack of tests: %s' %\n",
    "          (len(to_drop_idx), len(df_out), ', '.join(to_drop_idx)))\n",
    "    df_out.drop(to_drop_idx, axis=0, inplace=True)\n",
    "    # Drop states with no cases 7 days ago:\n",
    "    to_drop_idx = df_out.index[df_out['num_pos_7_days_ago'] == 0]\n",
    "    print('Dropping %i/%i states due to lack of positive tests: %s' %\n",
    "          (len(to_drop_idx), len(df_out), ', '.join(to_drop_idx)))\n",
    "    df_out.drop(to_drop_idx, axis=0, inplace=True)\n",
    "\n",
    "    # Criteria for model prediction:\n",
    "    # Drop states with missing test count today:\n",
    "    to_drop_idx = df_pred.index[df_pred['num_tests_today'].isnull()]\n",
    "    print('Dropping %i/%i states in prediction data due to lack of tests: %s' %\n",
    "          (len(to_drop_idx), len(df_pred), ', '.join(to_drop_idx)))\n",
    "    df_pred.drop(to_drop_idx, axis=0, inplace=True)\n",
    "    # Cast counts to int\n",
    "    df_pred['negative'] = df_pred['negative'].astype(int)\n",
    "    df_pred['positive'] = df_pred['positive'].astype(int)\n",
    "\n",
    "    return df_out, df_pred\n",
    "\n",
    "def _get_test_counts(df_ts, state_list, date):\n",
    "\n",
    "    ts_list = []\n",
    "    for state in state_list:\n",
    "        state_ts = df_ts.loc[df_ts['state'] == state]\n",
    "        # Back-fill any gaps to avoid crap data gaps\n",
    "        state_ts.fillna(method='bfill', inplace=True)\n",
    "\n",
    "        record = state_ts.loc[df_ts['date'] == date]\n",
    "        ts_list.append(record)\n",
    "\n",
    "    df_ts = pd.concat(ts_list, ignore_index=True)\n",
    "    return df_ts.set_index('state', drop=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-04-28T12:08:15.191979Z",
     "iopub.status.busy": "2020-04-28T12:08:15.191367Z",
     "iopub.status.idle": "2020-04-28T12:08:15.193719Z",
     "shell.execute_reply": "2020-04-28T12:08:15.193117Z"
    },
    "papermill": {
     "duration": 0.023312,
     "end_time": "2020-04-28T12:08:15.193823",
     "exception": false,
     "start_time": "2020-04-28T12:08:15.170511",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "#hide\n",
    "\n",
    "# Model utilities\n",
    "\n",
    "def case_count_model_us_states(df):\n",
    "\n",
    "    # Normalize inputs in a way that is sensible:\n",
    "\n",
    "    # People per test: normalize to South Korea\n",
    "    # assuming S.K. testing is \"saturated\"\n",
    "    ppt_sk = np.log10(51500000. / 250000)\n",
    "    df['people_per_test_normalized'] = (\n",
    "        np.log10(df['people_per_test_7_days_ago']) - ppt_sk)\n",
    "\n",
    "    n = len(df)\n",
    "\n",
    "    # For each country, let:\n",
    "    # c_obs = number of observed cases\n",
    "    c_obs = df['num_pos_7_days_ago'].values\n",
    "    # c_star = number of true cases\n",
    "\n",
    "    # d_obs = number of observed deaths\n",
    "    d_obs = df[['death', 'num_pos_7_days_ago']].min(axis=1).values\n",
    "    # people per test\n",
    "    people_per_test = df['people_per_test_normalized'].values\n",
    "\n",
    "    covid_case_count_model = pm.Model()\n",
    "\n",
    "    with covid_case_count_model:\n",
    "\n",
    "        # Priors:\n",
    "        mu_0 = pm.Beta('mu_0', alpha=1, beta=100, testval=0.01)\n",
    "        # sig_0 = pm.Uniform('sig_0', lower=0.0, upper=mu_0 * (1 - mu_0))\n",
    "        alpha = pm.Bound(pm.Normal, lower=0.0)(\n",
    "            'alpha', mu=8, sigma=3, shape=1)\n",
    "        beta = pm.Bound(pm.Normal, upper=0.0)(\n",
    "            'beta', mu=-1, sigma=1, shape=1)\n",
    "        # beta = pm.Normal('beta', mu=0, sigma=1, shape=3)\n",
    "        sigma = pm.HalfNormal('sigma', sigma=0.5, testval=0.1)\n",
    "        # sigma_1 = pm.HalfNormal('sigma_1', sigma=2, testval=0.1)\n",
    "\n",
    "        # Model probability of case under-reporting as logistic regression:\n",
    "        mu_model_logit = alpha + beta * people_per_test\n",
    "        tau_logit = pm.Normal('tau_logit',\n",
    "                              mu=mu_model_logit,\n",
    "                              sigma=sigma,\n",
    "                              shape=n)\n",
    "        tau = np.exp(tau_logit) / (np.exp(tau_logit) + 1)\n",
    "\n",
    "        c_star = c_obs / tau\n",
    "\n",
    "        # Binomial likelihood:\n",
    "        d = pm.Binomial('d',\n",
    "                        n=c_star,\n",
    "                        p=mu_0,\n",
    "                        observed=d_obs)\n",
    "\n",
    "    return covid_case_count_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-04-28T12:08:15.218882Z",
     "iopub.status.busy": "2020-04-28T12:08:15.218294Z",
     "iopub.status.idle": "2020-04-28T12:12:52.012512Z",
     "shell.execute_reply": "2020-04-28T12:12:52.011630Z"
    },
    "papermill": {
     "duration": 276.809059,
     "end_time": "2020-04-28T12:12:52.012634",
     "exception": false,
     "start_time": "2020-04-28T12:08:15.203575",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dropping 4/56 states due to lack of population data: AS, GU, MP, VI\n",
      "Dropping 0/52 states due to lack of tests: \n",
      "Dropping 0/52 states due to lack of positive tests: \n",
      "Dropping 0/52 states in prediction data due to lack of tests: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Initializing NUTS using jitter+adapt_diag...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sequential sampling (1 chains in 1 job)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "NUTS: [tau_logit, sigma, beta, alpha, mu_0]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   0%|          | 0/1000 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   0%|          | 1/1000 [00:01<19:15,  1.16s/it]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   1%|▏         | 13/1000 [00:01<13:21,  1.23it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   2%|▏         | 17/1000 [00:01<09:32,  1.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   2%|▏         | 20/1000 [00:01<06:52,  2.37it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   2%|▏         | 23/1000 [00:01<05:00,  3.25it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   3%|▎         | 26/1000 [00:01<03:42,  4.37it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   3%|▎         | 29/1000 [00:01<02:49,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   3%|▎         | 32/1000 [00:02<02:11,  7.39it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   4%|▎         | 35/1000 [00:02<01:44,  9.27it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   4%|▍         | 38/1000 [00:02<01:25, 11.26it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   4%|▍         | 41/1000 [00:02<01:12, 13.21it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   4%|▍         | 44/1000 [00:02<01:04, 14.89it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   5%|▍         | 47/1000 [00:02<00:58, 16.32it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   5%|▌         | 50/1000 [00:02<00:53, 17.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   5%|▌         | 53/1000 [00:03<00:50, 18.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   6%|▌         | 56/1000 [00:03<00:47, 19.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   6%|▌         | 59/1000 [00:03<00:45, 20.48it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   6%|▌         | 62/1000 [00:03<00:44, 21.06it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   6%|▋         | 65/1000 [00:03<00:43, 21.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   7%|▋         | 68/1000 [00:03<00:43, 21.25it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   7%|▋         | 71/1000 [00:03<00:42, 21.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   7%|▋         | 74/1000 [00:04<00:42, 21.84it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   8%|▊         | 77/1000 [00:04<00:41, 22.00it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   8%|▊         | 80/1000 [00:04<00:41, 22.16it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   8%|▊         | 83/1000 [00:04<00:41, 22.31it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   9%|▊         | 86/1000 [00:04<00:40, 22.34it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   9%|▉         | 89/1000 [00:04<00:40, 22.36it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:   9%|▉         | 92/1000 [00:04<00:41, 22.11it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  10%|▉         | 95/1000 [00:04<00:40, 22.27it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  10%|▉         | 98/1000 [00:05<00:40, 22.37it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  10%|█         | 101/1000 [00:05<00:40, 22.47it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  10%|█         | 104/1000 [00:05<00:39, 22.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  11%|█         | 107/1000 [00:05<00:39, 22.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  11%|█         | 110/1000 [00:05<00:39, 22.33it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  11%|█▏        | 113/1000 [00:05<00:39, 22.34it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  12%|█▏        | 116/1000 [00:05<00:39, 22.15it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  12%|█▏        | 119/1000 [00:06<00:39, 22.19it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  12%|█▏        | 122/1000 [00:06<00:39, 22.27it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  12%|█▎        | 125/1000 [00:06<00:39, 22.35it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  13%|█▎        | 128/1000 [00:06<00:38, 22.47it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  13%|█▎        | 131/1000 [00:06<00:38, 22.41it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  13%|█▎        | 134/1000 [00:06<00:38, 22.47it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  14%|█▎        | 137/1000 [00:06<00:38, 22.43it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  14%|█▍        | 140/1000 [00:06<00:38, 22.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  14%|█▍        | 143/1000 [00:07<00:38, 22.44it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  15%|█▍        | 146/1000 [00:07<00:37, 22.49it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  15%|█▍        | 149/1000 [00:07<00:37, 22.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  15%|█▌        | 152/1000 [00:07<00:37, 22.51it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  16%|█▌        | 155/1000 [00:07<00:37, 22.35it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  16%|█▌        | 158/1000 [00:07<00:37, 22.25it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  16%|█▌        | 161/1000 [00:07<00:37, 22.23it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  16%|█▋        | 164/1000 [00:08<00:37, 22.26it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  17%|█▋        | 167/1000 [00:08<00:37, 22.31it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  17%|█▋        | 170/1000 [00:08<00:36, 22.47it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  17%|█▋        | 173/1000 [00:08<00:36, 22.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  18%|█▊        | 176/1000 [00:08<00:36, 22.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  18%|█▊        | 179/1000 [00:08<00:36, 22.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  18%|█▊        | 182/1000 [00:08<00:36, 22.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  18%|█▊        | 185/1000 [00:08<00:35, 22.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  19%|█▉        | 188/1000 [00:09<00:35, 22.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  19%|█▉        | 191/1000 [00:09<00:35, 22.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  19%|█▉        | 194/1000 [00:09<00:35, 22.75it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  20%|█▉        | 197/1000 [00:09<00:35, 22.82it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  20%|██        | 200/1000 [00:09<00:35, 22.74it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  20%|██        | 203/1000 [00:10<01:06, 11.98it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  20%|██        | 205/1000 [00:10<01:28,  8.97it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  21%|██        | 207/1000 [00:10<01:44,  7.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  21%|██        | 209/1000 [00:11<01:55,  6.87it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  21%|██        | 210/1000 [00:11<02:02,  6.47it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  21%|██        | 211/1000 [00:11<02:06,  6.25it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  21%|██        | 212/1000 [00:11<02:09,  6.06it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  21%|██▏       | 213/1000 [00:11<02:12,  5.94it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  21%|██▏       | 214/1000 [00:12<02:14,  5.86it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▏       | 215/1000 [00:12<02:15,  5.80it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▏       | 216/1000 [00:12<02:15,  5.78it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▏       | 217/1000 [00:12<02:15,  5.78it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▏       | 218/1000 [00:12<02:16,  5.74it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▏       | 219/1000 [00:12<02:16,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▏       | 220/1000 [00:13<02:16,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▏       | 221/1000 [00:13<02:16,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▏       | 222/1000 [00:13<02:15,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▏       | 223/1000 [00:13<02:15,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▏       | 224/1000 [00:13<02:17,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  22%|██▎       | 225/1000 [00:14<02:16,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  23%|██▎       | 226/1000 [00:14<02:19,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  23%|██▎       | 227/1000 [00:14<02:17,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  23%|██▎       | 228/1000 [00:14<02:16,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  23%|██▎       | 229/1000 [00:14<02:17,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  23%|██▎       | 230/1000 [00:14<02:16,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  23%|██▎       | 231/1000 [00:15<02:15,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  23%|██▎       | 232/1000 [00:15<02:15,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  23%|██▎       | 233/1000 [00:15<02:15,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  23%|██▎       | 234/1000 [00:15<02:15,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▎       | 235/1000 [00:15<02:15,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▎       | 236/1000 [00:15<02:16,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▎       | 237/1000 [00:16<02:14,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▍       | 238/1000 [00:16<02:15,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▍       | 239/1000 [00:16<02:14,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▍       | 240/1000 [00:16<02:13,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▍       | 241/1000 [00:16<02:13,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▍       | 242/1000 [00:17<02:12,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▍       | 243/1000 [00:17<02:12,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▍       | 244/1000 [00:17<02:12,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  24%|██▍       | 245/1000 [00:17<02:11,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  25%|██▍       | 246/1000 [00:17<02:12,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  25%|██▍       | 247/1000 [00:17<02:11,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  25%|██▍       | 248/1000 [00:18<02:12,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  25%|██▍       | 249/1000 [00:18<02:12,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  25%|██▌       | 250/1000 [00:18<02:12,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  25%|██▌       | 251/1000 [00:18<02:11,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  25%|██▌       | 252/1000 [00:18<02:12,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  25%|██▌       | 253/1000 [00:18<02:12,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  25%|██▌       | 254/1000 [00:19<02:11,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▌       | 255/1000 [00:19<02:12,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▌       | 256/1000 [00:19<02:12,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▌       | 257/1000 [00:19<02:11,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▌       | 258/1000 [00:19<02:11,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▌       | 259/1000 [00:20<02:10,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▌       | 260/1000 [00:20<02:09,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▌       | 261/1000 [00:20<02:09,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▌       | 262/1000 [00:20<02:09,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▋       | 263/1000 [00:20<02:09,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▋       | 264/1000 [00:20<02:10,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  26%|██▋       | 265/1000 [00:21<02:09,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  27%|██▋       | 266/1000 [00:21<02:10,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  27%|██▋       | 267/1000 [00:21<02:09,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  27%|██▋       | 268/1000 [00:21<02:08,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  27%|██▋       | 269/1000 [00:21<02:09,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  27%|██▋       | 270/1000 [00:21<02:08,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  27%|██▋       | 271/1000 [00:22<02:08,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  27%|██▋       | 272/1000 [00:22<02:07,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  27%|██▋       | 273/1000 [00:22<02:07,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  27%|██▋       | 274/1000 [00:22<02:07,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 275/1000 [00:22<02:08,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 276/1000 [00:23<02:07,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 277/1000 [00:23<02:06,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 278/1000 [00:23<02:07,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 279/1000 [00:23<02:06,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 280/1000 [00:23<02:07,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 281/1000 [00:23<02:06,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 282/1000 [00:24<02:07,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 283/1000 [00:24<02:06,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 284/1000 [00:24<02:08,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  28%|██▊       | 285/1000 [00:24<02:07,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  29%|██▊       | 286/1000 [00:24<02:08,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  29%|██▊       | 287/1000 [00:25<02:09,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  29%|██▉       | 288/1000 [00:25<02:07,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  29%|██▉       | 289/1000 [00:25<02:06,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  29%|██▉       | 290/1000 [00:25<02:05,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  29%|██▉       | 291/1000 [00:25<02:03,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  29%|██▉       | 292/1000 [00:25<02:04,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  29%|██▉       | 293/1000 [00:26<02:04,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  29%|██▉       | 294/1000 [00:26<02:05,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|██▉       | 295/1000 [00:26<02:05,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|██▉       | 296/1000 [00:26<02:04,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|██▉       | 297/1000 [00:26<02:03,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|██▉       | 298/1000 [00:26<02:03,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|██▉       | 299/1000 [00:27<02:03,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|███       | 300/1000 [00:27<02:02,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|███       | 301/1000 [00:27<02:02,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|███       | 302/1000 [00:27<02:02,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|███       | 303/1000 [00:27<02:01,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|███       | 304/1000 [00:27<02:01,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  30%|███       | 305/1000 [00:28<02:01,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  31%|███       | 306/1000 [00:28<02:01,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  31%|███       | 307/1000 [00:28<02:01,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  31%|███       | 308/1000 [00:28<02:00,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  31%|███       | 309/1000 [00:28<02:00,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  31%|███       | 310/1000 [00:29<02:01,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  31%|███       | 311/1000 [00:29<02:01,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  31%|███       | 312/1000 [00:29<02:03,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  31%|███▏      | 313/1000 [00:29<02:02,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  31%|███▏      | 314/1000 [00:29<02:01,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▏      | 315/1000 [00:29<02:00,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▏      | 316/1000 [00:30<02:00,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▏      | 317/1000 [00:30<01:59,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▏      | 318/1000 [00:30<01:59,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▏      | 319/1000 [00:30<02:00,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▏      | 320/1000 [00:30<01:59,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▏      | 321/1000 [00:30<02:00,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▏      | 322/1000 [00:31<02:00,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▏      | 323/1000 [00:31<02:00,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▏      | 324/1000 [00:31<01:59,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  32%|███▎      | 325/1000 [00:31<01:58,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  33%|███▎      | 326/1000 [00:31<01:58,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  33%|███▎      | 327/1000 [00:32<01:57,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  33%|███▎      | 328/1000 [00:32<01:57,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  33%|███▎      | 329/1000 [00:32<01:57,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  33%|███▎      | 330/1000 [00:32<01:56,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  33%|███▎      | 331/1000 [00:32<01:56,  5.75it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  33%|███▎      | 332/1000 [00:32<01:56,  5.75it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  33%|███▎      | 333/1000 [00:33<01:57,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  33%|███▎      | 334/1000 [00:33<01:56,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▎      | 335/1000 [00:33<01:57,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▎      | 336/1000 [00:33<01:56,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▎      | 337/1000 [00:33<01:57,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▍      | 338/1000 [00:33<01:57,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▍      | 339/1000 [00:34<01:56,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▍      | 340/1000 [00:34<01:56,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▍      | 341/1000 [00:34<01:59,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▍      | 342/1000 [00:34<02:00,  5.46it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▍      | 343/1000 [00:34<02:01,  5.43it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▍      | 344/1000 [00:35<01:59,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  34%|███▍      | 345/1000 [00:35<01:57,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  35%|███▍      | 346/1000 [00:35<01:56,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  35%|███▍      | 347/1000 [00:35<01:55,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  35%|███▍      | 348/1000 [00:35<01:55,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  35%|███▍      | 349/1000 [00:35<01:54,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  35%|███▌      | 350/1000 [00:36<01:54,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  35%|███▌      | 351/1000 [00:36<01:53,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  35%|███▌      | 352/1000 [00:36<01:52,  5.75it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  35%|███▌      | 353/1000 [00:36<01:52,  5.76it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  35%|███▌      | 354/1000 [00:36<01:51,  5.79it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▌      | 355/1000 [00:36<01:51,  5.78it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▌      | 356/1000 [00:37<01:51,  5.76it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▌      | 357/1000 [00:37<01:51,  5.75it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▌      | 358/1000 [00:37<01:51,  5.77it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▌      | 359/1000 [00:37<01:51,  5.75it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▌      | 360/1000 [00:37<01:52,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▌      | 361/1000 [00:38<01:52,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▌      | 362/1000 [00:38<01:52,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▋      | 363/1000 [00:38<01:52,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▋      | 364/1000 [00:38<01:51,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  36%|███▋      | 365/1000 [00:38<01:52,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  37%|███▋      | 366/1000 [00:38<01:51,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  37%|███▋      | 367/1000 [00:39<01:51,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  37%|███▋      | 368/1000 [00:39<01:51,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  37%|███▋      | 369/1000 [00:39<01:52,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  37%|███▋      | 370/1000 [00:39<01:52,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  37%|███▋      | 371/1000 [00:39<01:51,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  37%|███▋      | 372/1000 [00:39<01:51,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  37%|███▋      | 373/1000 [00:40<01:51,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  37%|███▋      | 374/1000 [00:40<01:50,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 375/1000 [00:40<01:49,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 376/1000 [00:40<01:49,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 377/1000 [00:40<01:51,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 378/1000 [00:41<01:50,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 379/1000 [00:41<01:50,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 380/1000 [00:41<01:48,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 381/1000 [00:41<01:48,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 382/1000 [00:41<01:48,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 383/1000 [00:41<01:48,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 384/1000 [00:42<01:47,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  38%|███▊      | 385/1000 [00:42<01:47,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  39%|███▊      | 386/1000 [00:42<01:48,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  39%|███▊      | 387/1000 [00:42<01:48,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  39%|███▉      | 388/1000 [00:42<01:48,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  39%|███▉      | 389/1000 [00:42<01:47,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  39%|███▉      | 390/1000 [00:43<01:47,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  39%|███▉      | 391/1000 [00:43<01:46,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  39%|███▉      | 392/1000 [00:43<01:46,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  39%|███▉      | 393/1000 [00:43<01:46,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  39%|███▉      | 394/1000 [00:43<01:46,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|███▉      | 395/1000 [00:44<01:46,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|███▉      | 396/1000 [00:44<01:45,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|███▉      | 397/1000 [00:44<01:45,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|███▉      | 398/1000 [00:44<01:46,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|███▉      | 399/1000 [00:44<01:46,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|████      | 400/1000 [00:44<01:46,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|████      | 401/1000 [00:45<01:47,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|████      | 402/1000 [00:45<01:46,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|████      | 403/1000 [00:45<01:45,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|████      | 404/1000 [00:45<01:44,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  40%|████      | 405/1000 [00:45<01:44,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  41%|████      | 406/1000 [00:45<01:45,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  41%|████      | 407/1000 [00:46<01:44,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  41%|████      | 408/1000 [00:46<01:44,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  41%|████      | 409/1000 [00:46<01:43,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  41%|████      | 410/1000 [00:46<01:43,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  41%|████      | 411/1000 [00:46<01:43,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  41%|████      | 412/1000 [00:47<01:42,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  41%|████▏     | 413/1000 [00:47<01:42,  5.74it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  41%|████▏     | 414/1000 [00:47<01:42,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▏     | 415/1000 [00:47<01:42,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▏     | 416/1000 [00:47<01:41,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▏     | 417/1000 [00:47<01:41,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▏     | 418/1000 [00:48<01:41,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▏     | 419/1000 [00:48<01:42,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▏     | 420/1000 [00:48<01:41,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▏     | 421/1000 [00:48<01:41,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▏     | 422/1000 [00:48<01:41,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▏     | 423/1000 [00:48<01:41,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▏     | 424/1000 [00:49<01:42,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  42%|████▎     | 425/1000 [00:49<01:42,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  43%|████▎     | 426/1000 [00:49<01:41,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  43%|████▎     | 427/1000 [00:49<01:41,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  43%|████▎     | 428/1000 [00:49<01:41,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  43%|████▎     | 429/1000 [00:50<01:41,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  43%|████▎     | 430/1000 [00:50<01:42,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  43%|████▎     | 431/1000 [00:50<01:41,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  43%|████▎     | 432/1000 [00:50<01:40,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  43%|████▎     | 433/1000 [00:50<01:39,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  43%|████▎     | 434/1000 [00:50<01:41,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▎     | 435/1000 [00:51<01:41,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▎     | 436/1000 [00:51<01:41,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▎     | 437/1000 [00:51<01:40,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▍     | 438/1000 [00:51<01:39,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▍     | 439/1000 [00:51<01:38,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▍     | 440/1000 [00:51<01:37,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▍     | 441/1000 [00:52<01:37,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▍     | 442/1000 [00:52<01:37,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▍     | 443/1000 [00:52<01:37,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▍     | 444/1000 [00:52<01:36,  5.74it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  44%|████▍     | 445/1000 [00:52<01:37,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  45%|████▍     | 446/1000 [00:53<01:36,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  45%|████▍     | 447/1000 [00:53<01:36,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  45%|████▍     | 448/1000 [00:53<01:36,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  45%|████▍     | 449/1000 [00:53<01:36,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  45%|████▌     | 450/1000 [00:53<01:36,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  45%|████▌     | 451/1000 [00:53<01:35,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  45%|████▌     | 452/1000 [00:54<01:36,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  45%|████▌     | 453/1000 [00:54<01:36,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  45%|████▌     | 454/1000 [00:54<01:35,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▌     | 455/1000 [00:54<01:35,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▌     | 456/1000 [00:54<01:34,  5.74it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▌     | 457/1000 [00:54<01:35,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▌     | 458/1000 [00:55<01:36,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▌     | 459/1000 [00:55<01:36,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▌     | 460/1000 [00:55<01:35,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▌     | 461/1000 [00:55<01:37,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▌     | 462/1000 [00:55<01:35,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▋     | 463/1000 [00:56<01:36,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▋     | 464/1000 [00:56<01:35,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  46%|████▋     | 465/1000 [00:56<01:34,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  47%|████▋     | 466/1000 [00:56<01:34,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  47%|████▋     | 467/1000 [00:56<01:34,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  47%|████▋     | 468/1000 [00:56<01:33,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  47%|████▋     | 469/1000 [00:57<01:33,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  47%|████▋     | 470/1000 [00:57<01:33,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  47%|████▋     | 471/1000 [00:57<01:32,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  47%|████▋     | 472/1000 [00:57<01:32,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  47%|████▋     | 473/1000 [00:57<01:32,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  47%|████▋     | 474/1000 [00:57<01:32,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 475/1000 [00:58<01:31,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 476/1000 [00:58<01:31,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 477/1000 [00:58<01:31,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 478/1000 [00:58<01:31,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 479/1000 [00:58<01:31,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 480/1000 [00:59<01:31,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 481/1000 [00:59<01:31,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 482/1000 [00:59<01:31,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 483/1000 [00:59<01:31,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 484/1000 [00:59<01:31,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  48%|████▊     | 485/1000 [00:59<01:30,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  49%|████▊     | 486/1000 [01:00<01:30,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  49%|████▊     | 487/1000 [01:00<01:31,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  49%|████▉     | 488/1000 [01:00<01:30,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  49%|████▉     | 489/1000 [01:00<01:30,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  49%|████▉     | 490/1000 [01:00<01:29,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  49%|████▉     | 491/1000 [01:00<01:29,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  49%|████▉     | 492/1000 [01:01<01:30,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  49%|████▉     | 493/1000 [01:01<01:30,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  49%|████▉     | 494/1000 [01:01<01:29,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|████▉     | 495/1000 [01:01<01:29,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|████▉     | 496/1000 [01:01<01:29,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|████▉     | 497/1000 [01:02<01:29,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|████▉     | 498/1000 [01:02<01:29,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|████▉     | 499/1000 [01:02<01:28,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|█████     | 500/1000 [01:02<01:28,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|█████     | 501/1000 [01:02<01:29,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|█████     | 502/1000 [01:02<01:28,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|█████     | 503/1000 [01:03<01:27,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|█████     | 504/1000 [01:03<01:27,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  50%|█████     | 505/1000 [01:03<01:27,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  51%|█████     | 506/1000 [01:03<01:27,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  51%|█████     | 507/1000 [01:03<01:27,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  51%|█████     | 508/1000 [01:03<01:26,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  51%|█████     | 509/1000 [01:04<01:26,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  51%|█████     | 510/1000 [01:04<01:26,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  51%|█████     | 511/1000 [01:04<01:28,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  51%|█████     | 512/1000 [01:04<01:29,  5.47it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  51%|█████▏    | 513/1000 [01:04<01:29,  5.46it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  51%|█████▏    | 514/1000 [01:05<01:27,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▏    | 515/1000 [01:05<01:26,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▏    | 516/1000 [01:05<01:25,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▏    | 517/1000 [01:05<01:25,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▏    | 518/1000 [01:05<01:25,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▏    | 519/1000 [01:05<01:25,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▏    | 520/1000 [01:06<01:25,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▏    | 521/1000 [01:06<01:24,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▏    | 522/1000 [01:06<01:24,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▏    | 523/1000 [01:06<01:24,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▏    | 524/1000 [01:06<01:25,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  52%|█████▎    | 525/1000 [01:07<01:25,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  53%|█████▎    | 526/1000 [01:07<01:24,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  53%|█████▎    | 527/1000 [01:07<01:23,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  53%|█████▎    | 528/1000 [01:07<01:23,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  53%|█████▎    | 529/1000 [01:07<01:23,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  53%|█████▎    | 530/1000 [01:07<01:22,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  53%|█████▎    | 531/1000 [01:08<01:21,  5.74it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  53%|█████▎    | 532/1000 [01:08<01:23,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  53%|█████▎    | 533/1000 [01:08<01:22,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  53%|█████▎    | 534/1000 [01:08<01:22,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  54%|█████▎    | 535/1000 [01:08<01:22,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  54%|█████▎    | 536/1000 [01:08<01:23,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  54%|█████▎    | 537/1000 [01:09<01:22,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  54%|█████▍    | 538/1000 [01:09<01:22,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  54%|█████▍    | 539/1000 [01:09<01:21,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  54%|█████▍    | 540/1000 [01:09<01:22,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  54%|█████▍    | 541/1000 [01:09<01:21,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  54%|█████▍    | 542/1000 [01:10<01:20,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  54%|█████▍    | 543/1000 [01:10<01:20,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  54%|█████▍    | 544/1000 [01:10<01:20,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  55%|█████▍    | 545/1000 [01:10<01:19,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  55%|█████▍    | 546/1000 [01:10<01:20,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  55%|█████▍    | 547/1000 [01:10<01:20,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  55%|█████▍    | 548/1000 [01:11<01:20,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  55%|█████▍    | 549/1000 [01:11<01:20,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  55%|█████▌    | 550/1000 [01:11<01:20,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  55%|█████▌    | 551/1000 [01:11<01:19,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  55%|█████▌    | 552/1000 [01:11<01:19,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  55%|█████▌    | 553/1000 [01:11<01:18,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  55%|█████▌    | 554/1000 [01:12<01:18,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▌    | 555/1000 [01:12<01:19,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▌    | 556/1000 [01:12<01:18,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▌    | 557/1000 [01:12<01:17,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▌    | 558/1000 [01:12<01:18,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▌    | 559/1000 [01:13<01:18,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▌    | 560/1000 [01:13<01:17,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▌    | 561/1000 [01:13<01:18,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▌    | 562/1000 [01:13<01:17,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▋    | 563/1000 [01:13<01:17,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▋    | 564/1000 [01:13<01:17,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  56%|█████▋    | 565/1000 [01:14<01:17,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  57%|█████▋    | 566/1000 [01:14<01:17,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  57%|█████▋    | 567/1000 [01:14<01:16,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  57%|█████▋    | 568/1000 [01:14<01:15,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  57%|█████▋    | 569/1000 [01:14<01:15,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  57%|█████▋    | 570/1000 [01:14<01:15,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  57%|█████▋    | 571/1000 [01:15<01:15,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  57%|█████▋    | 572/1000 [01:15<01:15,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  57%|█████▋    | 573/1000 [01:15<01:15,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  57%|█████▋    | 574/1000 [01:15<01:14,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  57%|█████▊    | 575/1000 [01:15<01:14,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  58%|█████▊    | 576/1000 [01:16<01:15,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  58%|█████▊    | 577/1000 [01:16<01:15,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  58%|█████▊    | 578/1000 [01:16<01:15,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  58%|█████▊    | 579/1000 [01:16<01:15,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  58%|█████▊    | 580/1000 [01:16<01:14,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  58%|█████▊    | 581/1000 [01:16<01:16,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  58%|█████▊    | 582/1000 [01:17<01:15,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  58%|█████▊    | 583/1000 [01:17<01:14,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  58%|█████▊    | 584/1000 [01:17<01:14,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  58%|█████▊    | 585/1000 [01:17<01:14,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  59%|█████▊    | 586/1000 [01:17<01:16,  5.42it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  59%|█████▊    | 587/1000 [01:18<01:15,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  59%|█████▉    | 588/1000 [01:18<01:16,  5.38it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  59%|█████▉    | 589/1000 [01:18<01:15,  5.46it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  59%|█████▉    | 590/1000 [01:18<01:13,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  59%|█████▉    | 591/1000 [01:18<01:14,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  59%|█████▉    | 592/1000 [01:18<01:14,  5.44it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  59%|█████▉    | 593/1000 [01:19<01:13,  5.51it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  59%|█████▉    | 594/1000 [01:19<01:12,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|█████▉    | 595/1000 [01:19<01:11,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|█████▉    | 596/1000 [01:19<01:11,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|█████▉    | 597/1000 [01:19<01:10,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|█████▉    | 598/1000 [01:19<01:10,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|█████▉    | 599/1000 [01:20<01:10,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|██████    | 600/1000 [01:20<01:10,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|██████    | 601/1000 [01:20<01:09,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|██████    | 602/1000 [01:20<01:09,  5.75it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|██████    | 603/1000 [01:20<01:09,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|██████    | 604/1000 [01:21<01:09,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  60%|██████    | 605/1000 [01:21<01:09,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  61%|██████    | 606/1000 [01:21<01:09,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  61%|██████    | 607/1000 [01:21<01:08,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  61%|██████    | 608/1000 [01:21<01:09,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  61%|██████    | 609/1000 [01:21<01:08,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  61%|██████    | 610/1000 [01:22<01:08,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  61%|██████    | 611/1000 [01:22<01:08,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  61%|██████    | 612/1000 [01:22<01:07,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  61%|██████▏   | 613/1000 [01:22<01:07,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  61%|██████▏   | 614/1000 [01:22<01:07,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▏   | 615/1000 [01:22<01:07,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▏   | 616/1000 [01:23<01:07,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▏   | 617/1000 [01:23<01:06,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▏   | 618/1000 [01:23<01:06,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▏   | 619/1000 [01:23<01:06,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▏   | 620/1000 [01:23<01:06,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▏   | 621/1000 [01:24<01:06,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▏   | 622/1000 [01:24<01:06,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▏   | 623/1000 [01:24<01:06,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▏   | 624/1000 [01:24<01:05,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  62%|██████▎   | 625/1000 [01:24<01:06,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  63%|██████▎   | 626/1000 [01:24<01:06,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  63%|██████▎   | 627/1000 [01:25<01:06,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  63%|██████▎   | 628/1000 [01:25<01:05,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  63%|██████▎   | 629/1000 [01:25<01:05,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  63%|██████▎   | 630/1000 [01:25<01:05,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  63%|██████▎   | 631/1000 [01:25<01:05,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  63%|██████▎   | 632/1000 [01:25<01:05,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  63%|██████▎   | 633/1000 [01:26<01:05,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  63%|██████▎   | 634/1000 [01:26<01:05,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▎   | 635/1000 [01:26<01:05,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▎   | 636/1000 [01:26<01:05,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▎   | 637/1000 [01:26<01:04,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▍   | 638/1000 [01:27<01:04,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▍   | 639/1000 [01:27<01:03,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▍   | 640/1000 [01:27<01:03,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▍   | 641/1000 [01:27<01:03,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▍   | 642/1000 [01:27<01:02,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▍   | 643/1000 [01:27<01:02,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▍   | 644/1000 [01:28<01:04,  5.48it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  64%|██████▍   | 645/1000 [01:28<01:04,  5.48it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  65%|██████▍   | 646/1000 [01:28<01:04,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  65%|██████▍   | 647/1000 [01:28<01:05,  5.41it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  65%|██████▍   | 648/1000 [01:28<01:03,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  65%|██████▍   | 649/1000 [01:29<01:04,  5.46it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  65%|██████▌   | 650/1000 [01:29<01:03,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  65%|██████▌   | 651/1000 [01:29<01:02,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  65%|██████▌   | 652/1000 [01:29<01:02,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  65%|██████▌   | 653/1000 [01:29<01:01,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  65%|██████▌   | 654/1000 [01:29<01:02,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▌   | 655/1000 [01:30<01:02,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▌   | 656/1000 [01:30<01:01,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▌   | 657/1000 [01:30<01:01,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▌   | 658/1000 [01:30<01:01,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▌   | 659/1000 [01:30<01:02,  5.43it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▌   | 660/1000 [01:30<01:01,  5.49it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▌   | 661/1000 [01:31<01:01,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▌   | 662/1000 [01:31<01:00,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▋   | 663/1000 [01:31<01:00,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▋   | 664/1000 [01:31<01:01,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  66%|██████▋   | 665/1000 [01:31<01:01,  5.42it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  67%|██████▋   | 666/1000 [01:32<01:01,  5.41it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  67%|██████▋   | 667/1000 [01:32<01:01,  5.45it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  67%|██████▋   | 668/1000 [01:32<01:00,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  67%|██████▋   | 669/1000 [01:32<00:59,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  67%|██████▋   | 670/1000 [01:32<00:58,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  67%|██████▋   | 671/1000 [01:32<00:59,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  67%|██████▋   | 672/1000 [01:33<00:59,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  67%|██████▋   | 673/1000 [01:33<00:58,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  67%|██████▋   | 674/1000 [01:33<00:58,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 675/1000 [01:33<00:58,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 676/1000 [01:33<00:57,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 677/1000 [01:34<00:57,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 678/1000 [01:34<00:58,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 679/1000 [01:34<00:57,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 680/1000 [01:34<00:56,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 681/1000 [01:34<00:56,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 682/1000 [01:34<00:55,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 683/1000 [01:35<00:55,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 684/1000 [01:35<00:55,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  68%|██████▊   | 685/1000 [01:35<00:55,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  69%|██████▊   | 686/1000 [01:35<00:55,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  69%|██████▊   | 687/1000 [01:35<00:55,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  69%|██████▉   | 688/1000 [01:35<00:54,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  69%|██████▉   | 689/1000 [01:36<00:54,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  69%|██████▉   | 690/1000 [01:36<00:54,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  69%|██████▉   | 691/1000 [01:36<00:54,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  69%|██████▉   | 692/1000 [01:36<00:53,  5.74it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  69%|██████▉   | 693/1000 [01:36<00:53,  5.75it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  69%|██████▉   | 694/1000 [01:37<00:53,  5.75it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|██████▉   | 695/1000 [01:37<00:53,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|██████▉   | 696/1000 [01:37<00:53,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|██████▉   | 697/1000 [01:37<00:53,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|██████▉   | 698/1000 [01:37<00:53,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|██████▉   | 699/1000 [01:37<00:53,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|███████   | 700/1000 [01:38<00:53,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|███████   | 701/1000 [01:38<00:52,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|███████   | 702/1000 [01:38<00:52,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|███████   | 703/1000 [01:38<00:52,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|███████   | 704/1000 [01:38<00:52,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  70%|███████   | 705/1000 [01:38<00:52,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  71%|███████   | 706/1000 [01:39<00:51,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  71%|███████   | 707/1000 [01:39<00:51,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  71%|███████   | 708/1000 [01:39<00:51,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  71%|███████   | 709/1000 [01:39<00:51,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  71%|███████   | 710/1000 [01:39<00:50,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  71%|███████   | 711/1000 [01:40<00:50,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  71%|███████   | 712/1000 [01:40<00:50,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  71%|███████▏  | 713/1000 [01:40<00:50,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  71%|███████▏  | 714/1000 [01:40<00:50,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▏  | 715/1000 [01:40<00:50,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▏  | 716/1000 [01:40<00:50,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▏  | 717/1000 [01:41<00:49,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▏  | 718/1000 [01:41<00:49,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▏  | 719/1000 [01:41<00:49,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▏  | 720/1000 [01:41<00:49,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▏  | 721/1000 [01:41<00:48,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▏  | 722/1000 [01:41<00:48,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▏  | 723/1000 [01:42<00:49,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▏  | 724/1000 [01:42<00:48,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  72%|███████▎  | 725/1000 [01:42<00:48,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  73%|███████▎  | 726/1000 [01:42<00:48,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  73%|███████▎  | 727/1000 [01:42<00:48,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  73%|███████▎  | 728/1000 [01:43<00:48,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  73%|███████▎  | 729/1000 [01:43<00:48,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  73%|███████▎  | 730/1000 [01:43<00:47,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  73%|███████▎  | 731/1000 [01:43<00:47,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  73%|███████▎  | 732/1000 [01:43<00:48,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  73%|███████▎  | 733/1000 [01:43<00:48,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  73%|███████▎  | 734/1000 [01:44<00:48,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▎  | 735/1000 [01:44<00:47,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▎  | 736/1000 [01:44<00:47,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▎  | 737/1000 [01:44<00:47,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▍  | 738/1000 [01:44<00:47,  5.48it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▍  | 739/1000 [01:45<00:47,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▍  | 740/1000 [01:45<00:46,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▍  | 741/1000 [01:45<00:46,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▍  | 742/1000 [01:45<00:46,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▍  | 743/1000 [01:45<00:46,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▍  | 744/1000 [01:45<00:46,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  74%|███████▍  | 745/1000 [01:46<00:46,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  75%|███████▍  | 746/1000 [01:46<00:46,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  75%|███████▍  | 747/1000 [01:46<00:45,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  75%|███████▍  | 748/1000 [01:46<00:45,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  75%|███████▍  | 749/1000 [01:46<00:45,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  75%|███████▌  | 750/1000 [01:47<00:45,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  75%|███████▌  | 751/1000 [01:47<00:44,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  75%|███████▌  | 752/1000 [01:47<00:44,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  75%|███████▌  | 753/1000 [01:47<00:44,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  75%|███████▌  | 754/1000 [01:47<00:44,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▌  | 755/1000 [01:47<00:43,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▌  | 756/1000 [01:48<00:43,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▌  | 757/1000 [01:48<00:43,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▌  | 758/1000 [01:48<00:43,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▌  | 759/1000 [01:48<00:43,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▌  | 760/1000 [01:48<00:43,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▌  | 761/1000 [01:48<00:43,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▌  | 762/1000 [01:49<00:43,  5.51it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▋  | 763/1000 [01:49<00:42,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▋  | 764/1000 [01:49<00:42,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  76%|███████▋  | 765/1000 [01:49<00:41,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  77%|███████▋  | 766/1000 [01:49<00:41,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  77%|███████▋  | 767/1000 [01:50<00:41,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  77%|███████▋  | 768/1000 [01:50<00:41,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  77%|███████▋  | 769/1000 [01:50<00:40,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  77%|███████▋  | 770/1000 [01:50<00:40,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  77%|███████▋  | 771/1000 [01:50<00:40,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  77%|███████▋  | 772/1000 [01:50<00:40,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  77%|███████▋  | 773/1000 [01:51<00:42,  5.38it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  77%|███████▋  | 774/1000 [01:51<00:41,  5.44it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 775/1000 [01:51<00:40,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 776/1000 [01:51<00:40,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 777/1000 [01:51<00:40,  5.48it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 778/1000 [01:52<00:39,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 779/1000 [01:52<00:39,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 780/1000 [01:52<00:39,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 781/1000 [01:52<00:39,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 782/1000 [01:52<00:39,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 783/1000 [01:52<00:39,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 784/1000 [01:53<00:39,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  78%|███████▊  | 785/1000 [01:53<00:38,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  79%|███████▊  | 786/1000 [01:53<00:38,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  79%|███████▊  | 787/1000 [01:53<00:38,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  79%|███████▉  | 788/1000 [01:53<00:38,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  79%|███████▉  | 789/1000 [01:54<00:38,  5.51it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  79%|███████▉  | 790/1000 [01:54<00:38,  5.43it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  79%|███████▉  | 791/1000 [01:54<00:38,  5.46it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  79%|███████▉  | 792/1000 [01:54<00:38,  5.47it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  79%|███████▉  | 793/1000 [01:54<00:37,  5.47it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  79%|███████▉  | 794/1000 [01:54<00:37,  5.51it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|███████▉  | 795/1000 [01:55<00:37,  5.46it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|███████▉  | 796/1000 [01:55<00:37,  5.41it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|███████▉  | 797/1000 [01:55<00:37,  5.46it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|███████▉  | 798/1000 [01:55<00:37,  5.46it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|███████▉  | 799/1000 [01:55<00:36,  5.48it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|████████  | 800/1000 [01:56<00:36,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|████████  | 801/1000 [01:56<00:36,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|████████  | 802/1000 [01:56<00:35,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|████████  | 803/1000 [01:56<00:35,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|████████  | 804/1000 [01:56<00:35,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  80%|████████  | 805/1000 [01:56<00:34,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  81%|████████  | 806/1000 [01:57<00:34,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  81%|████████  | 807/1000 [01:57<00:34,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  81%|████████  | 808/1000 [01:57<00:34,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  81%|████████  | 809/1000 [01:57<00:34,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  81%|████████  | 810/1000 [01:57<00:34,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  81%|████████  | 811/1000 [01:57<00:33,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  81%|████████  | 812/1000 [01:58<00:33,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  81%|████████▏ | 813/1000 [01:58<00:33,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  81%|████████▏ | 814/1000 [01:58<00:33,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▏ | 815/1000 [01:58<00:32,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▏ | 816/1000 [01:58<00:32,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▏ | 817/1000 [01:59<00:32,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▏ | 818/1000 [01:59<00:32,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▏ | 819/1000 [01:59<00:32,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▏ | 820/1000 [01:59<00:31,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▏ | 821/1000 [01:59<00:32,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▏ | 822/1000 [01:59<00:31,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▏ | 823/1000 [02:00<00:31,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▏ | 824/1000 [02:00<00:31,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  82%|████████▎ | 825/1000 [02:00<00:31,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  83%|████████▎ | 826/1000 [02:00<00:31,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  83%|████████▎ | 827/1000 [02:00<00:30,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  83%|████████▎ | 828/1000 [02:01<00:30,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  83%|████████▎ | 829/1000 [02:01<00:30,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  83%|████████▎ | 830/1000 [02:01<00:29,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  83%|████████▎ | 831/1000 [02:01<00:29,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  83%|████████▎ | 832/1000 [02:01<00:29,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  83%|████████▎ | 833/1000 [02:01<00:29,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  83%|████████▎ | 834/1000 [02:02<00:29,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▎ | 835/1000 [02:02<00:29,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▎ | 836/1000 [02:02<00:28,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▎ | 837/1000 [02:02<00:28,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▍ | 838/1000 [02:02<00:29,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▍ | 839/1000 [02:02<00:28,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▍ | 840/1000 [02:03<00:28,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▍ | 841/1000 [02:03<00:28,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▍ | 842/1000 [02:03<00:28,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▍ | 843/1000 [02:03<00:27,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▍ | 844/1000 [02:03<00:27,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  84%|████████▍ | 845/1000 [02:04<00:27,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  85%|████████▍ | 846/1000 [02:04<00:27,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  85%|████████▍ | 847/1000 [02:04<00:27,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  85%|████████▍ | 848/1000 [02:04<00:27,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  85%|████████▍ | 849/1000 [02:04<00:27,  5.51it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  85%|████████▌ | 850/1000 [02:04<00:26,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  85%|████████▌ | 851/1000 [02:05<00:26,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  85%|████████▌ | 852/1000 [02:05<00:26,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  85%|████████▌ | 853/1000 [02:05<00:25,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  85%|████████▌ | 854/1000 [02:05<00:26,  5.51it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▌ | 855/1000 [02:05<00:26,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▌ | 856/1000 [02:06<00:25,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▌ | 857/1000 [02:06<00:25,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▌ | 858/1000 [02:06<00:25,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▌ | 859/1000 [02:06<00:25,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▌ | 860/1000 [02:06<00:24,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▌ | 861/1000 [02:06<00:24,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▌ | 862/1000 [02:07<00:24,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▋ | 863/1000 [02:07<00:24,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▋ | 864/1000 [02:07<00:23,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  86%|████████▋ | 865/1000 [02:07<00:23,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  87%|████████▋ | 866/1000 [02:07<00:23,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  87%|████████▋ | 867/1000 [02:07<00:23,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  87%|████████▋ | 868/1000 [02:08<00:23,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  87%|████████▋ | 869/1000 [02:08<00:23,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  87%|████████▋ | 870/1000 [02:08<00:22,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  87%|████████▋ | 871/1000 [02:08<00:22,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  87%|████████▋ | 872/1000 [02:08<00:22,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  87%|████████▋ | 873/1000 [02:09<00:22,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  87%|████████▋ | 874/1000 [02:09<00:22,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 875/1000 [02:09<00:22,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 876/1000 [02:09<00:22,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 877/1000 [02:09<00:22,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 878/1000 [02:09<00:21,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 879/1000 [02:10<00:21,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 880/1000 [02:10<00:21,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 881/1000 [02:10<00:21,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 882/1000 [02:10<00:21,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 883/1000 [02:10<00:21,  5.53it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 884/1000 [02:10<00:20,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  88%|████████▊ | 885/1000 [02:11<00:20,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  89%|████████▊ | 886/1000 [02:11<00:20,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  89%|████████▊ | 887/1000 [02:11<00:20,  5.54it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  89%|████████▉ | 888/1000 [02:11<00:20,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  89%|████████▉ | 889/1000 [02:11<00:19,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  89%|████████▉ | 890/1000 [02:12<00:19,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  89%|████████▉ | 891/1000 [02:12<00:19,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  89%|████████▉ | 892/1000 [02:12<00:19,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  89%|████████▉ | 893/1000 [02:12<00:18,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  89%|████████▉ | 894/1000 [02:12<00:18,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|████████▉ | 895/1000 [02:12<00:18,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|████████▉ | 896/1000 [02:13<00:18,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|████████▉ | 897/1000 [02:13<00:18,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|████████▉ | 898/1000 [02:13<00:18,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|████████▉ | 899/1000 [02:13<00:17,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|█████████ | 900/1000 [02:13<00:17,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|█████████ | 901/1000 [02:14<00:17,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|█████████ | 902/1000 [02:14<00:17,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|█████████ | 903/1000 [02:14<00:17,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|█████████ | 904/1000 [02:14<00:16,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  90%|█████████ | 905/1000 [02:14<00:17,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  91%|█████████ | 906/1000 [02:14<00:17,  5.49it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  91%|█████████ | 907/1000 [02:15<00:16,  5.47it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  91%|█████████ | 908/1000 [02:15<00:16,  5.48it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  91%|█████████ | 909/1000 [02:15<00:16,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  91%|█████████ | 910/1000 [02:15<00:16,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  91%|█████████ | 911/1000 [02:15<00:15,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  91%|█████████ | 912/1000 [02:15<00:15,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  91%|█████████▏| 913/1000 [02:16<00:15,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  91%|█████████▏| 914/1000 [02:16<00:15,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▏| 915/1000 [02:16<00:14,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▏| 916/1000 [02:16<00:14,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▏| 917/1000 [02:16<00:14,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▏| 918/1000 [02:17<00:14,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▏| 919/1000 [02:17<00:14,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▏| 920/1000 [02:17<00:14,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▏| 921/1000 [02:17<00:13,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▏| 922/1000 [02:17<00:13,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▏| 923/1000 [02:17<00:13,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▏| 924/1000 [02:18<00:13,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  92%|█████████▎| 925/1000 [02:18<00:13,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  93%|█████████▎| 926/1000 [02:18<00:13,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  93%|█████████▎| 927/1000 [02:18<00:12,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  93%|█████████▎| 928/1000 [02:18<00:12,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  93%|█████████▎| 929/1000 [02:18<00:12,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  93%|█████████▎| 930/1000 [02:19<00:12,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  93%|█████████▎| 931/1000 [02:19<00:12,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  93%|█████████▎| 932/1000 [02:19<00:11,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  93%|█████████▎| 933/1000 [02:19<00:11,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  93%|█████████▎| 934/1000 [02:19<00:11,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▎| 935/1000 [02:20<00:11,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▎| 936/1000 [02:20<00:11,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▎| 937/1000 [02:20<00:11,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▍| 938/1000 [02:20<00:10,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▍| 939/1000 [02:20<00:10,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▍| 940/1000 [02:20<00:10,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▍| 941/1000 [02:21<00:10,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▍| 942/1000 [02:21<00:10,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▍| 943/1000 [02:21<00:10,  5.39it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▍| 944/1000 [02:21<00:10,  5.51it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  94%|█████████▍| 945/1000 [02:21<00:10,  5.48it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  95%|█████████▍| 946/1000 [02:21<00:09,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  95%|█████████▍| 947/1000 [02:22<00:09,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  95%|█████████▍| 948/1000 [02:22<00:09,  5.47it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  95%|█████████▍| 949/1000 [02:22<00:09,  5.52it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  95%|█████████▌| 950/1000 [02:22<00:08,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  95%|█████████▌| 951/1000 [02:22<00:08,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  95%|█████████▌| 952/1000 [02:23<00:08,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  95%|█████████▌| 953/1000 [02:23<00:08,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  95%|█████████▌| 954/1000 [02:23<00:08,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▌| 955/1000 [02:23<00:07,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▌| 956/1000 [02:23<00:07,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▌| 957/1000 [02:23<00:07,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▌| 958/1000 [02:24<00:07,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▌| 959/1000 [02:24<00:07,  5.64it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▌| 960/1000 [02:24<00:07,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▌| 961/1000 [02:24<00:07,  5.57it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▌| 962/1000 [02:24<00:06,  5.55it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▋| 963/1000 [02:25<00:06,  5.46it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▋| 964/1000 [02:25<00:06,  5.49it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  96%|█████████▋| 965/1000 [02:25<00:06,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  97%|█████████▋| 966/1000 [02:25<00:06,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  97%|█████████▋| 967/1000 [02:25<00:05,  5.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  97%|█████████▋| 968/1000 [02:25<00:05,  5.50it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  97%|█████████▋| 969/1000 [02:26<00:05,  5.46it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  97%|█████████▋| 970/1000 [02:26<00:05,  5.56it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  97%|█████████▋| 971/1000 [02:26<00:05,  5.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  97%|█████████▋| 972/1000 [02:26<00:04,  5.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  97%|█████████▋| 973/1000 [02:26<00:04,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  97%|█████████▋| 974/1000 [02:26<00:04,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 975/1000 [02:27<00:04,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 976/1000 [02:27<00:04,  5.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 977/1000 [02:27<00:04,  5.62it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 978/1000 [02:27<00:03,  5.59it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 979/1000 [02:27<00:03,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 980/1000 [02:28<00:03,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 981/1000 [02:28<00:03,  5.63it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 982/1000 [02:28<00:03,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 983/1000 [02:28<00:03,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 984/1000 [02:28<00:02,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  98%|█████████▊| 985/1000 [02:28<00:02,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  99%|█████████▊| 986/1000 [02:29<00:02,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  99%|█████████▊| 987/1000 [02:29<00:02,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  99%|█████████▉| 988/1000 [02:29<00:02,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  99%|█████████▉| 989/1000 [02:29<00:01,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  99%|█████████▉| 990/1000 [02:29<00:01,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  99%|█████████▉| 991/1000 [02:29<00:01,  5.73it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  99%|█████████▉| 992/1000 [02:30<00:01,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  99%|█████████▉| 993/1000 [02:30<00:01,  5.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences:  99%|█████████▉| 994/1000 [02:30<00:01,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences: 100%|█████████▉| 995/1000 [02:30<00:00,  5.65it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences: 100%|█████████▉| 996/1000 [02:30<00:00,  5.69it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences: 100%|█████████▉| 997/1000 [02:31<00:00,  5.66it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences: 100%|█████████▉| 998/1000 [02:31<00:00,  5.70it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences: 100%|█████████▉| 999/1000 [02:31<00:00,  5.71it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences: 100%|██████████| 1000/1000 [02:31<00:00,  5.72it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "Sampling chain 0, 0 divergences: 100%|██████████| 1000/1000 [02:31<00:00,  6.60it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The acceptance probability does not match the target. It is 0.880957906695268, but should be close to 0.8. Try to increase the number of tuning steps.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The chain reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Only one chain was sampled, this makes it impossible to run some convergence checks\n"
     ]
    }
   ],
   "source": [
    "#hide\n",
    "\n",
    "df, df_pred = get_statewise_testing_data()\n",
    "\n",
    "# Initialize the model:\n",
    "mod = case_count_model_us_states(df)\n",
    "\n",
    "# Run MCMC sampler\n",
    "with mod:\n",
    "    trace = pm.sample(500, tune=500, chains=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-04-28T12:12:52.560313Z",
     "iopub.status.busy": "2020-04-28T12:12:52.559672Z",
     "iopub.status.idle": "2020-04-28T12:12:53.045361Z",
     "shell.execute_reply": "2020-04-28T12:12:53.044747Z"
    },
    "papermill": {
     "duration": 0.76504,
     "end_time": "2020-04-28T12:12:53.045480",
     "exception": false,
     "start_time": "2020-04-28T12:12:52.280440",
     "status": "completed"
    },
    "scrolled": true,
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "## Summary for the United States on 2020-04-28:"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "**Reported Case Count:**  980,917"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "**Predicted Case Count:**  1,212,931"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "**Percentage Underreporting in Case Count:**  19.1%"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#hide_input\n",
    "\n",
    "n = len(trace['beta'])\n",
    "\n",
    "# South Korea:\n",
    "ppt_sk = np.log10(51500000. / 250000)\n",
    "\n",
    "\n",
    "# Compute predicted case counts per state right now\n",
    "logit_now = pd.DataFrame([\n",
    "    pd.Series(np.random.normal((trace['alpha'][i] + trace['beta'][i] * (np.log10(df_pred['people_per_test']) - ppt_sk)),\n",
    "                     trace['sigma'][i]), index=df_pred.index)\n",
    "    for i in range(len(trace['beta']))])\n",
    "prob_missing_now = np.exp(logit_now) / (np.exp(logit_now) + 1) \n",
    "\n",
    "predicted_counts_now = np.round(df_pred['positive'] / prob_missing_now.mean(axis=0)).astype(int)\n",
    "\n",
    "predicted_counts_now_lower = np.round(df_pred['positive'] / prob_missing_now.quantile(0.975, axis=0)).astype(int)\n",
    "predicted_counts_now_upper = np.round(df_pred['positive'] / prob_missing_now.quantile(0.025, axis=0)).astype(int)\n",
    "\n",
    "case_increase_percent = list(map(lambda x, y: (((x - y) / float(y))),\n",
    "                                 predicted_counts_now, df_pred['positive']))\n",
    "\n",
    "df_summary = pd.DataFrame(\n",
    "    data = {\n",
    "     'Cases Reported': df_pred['positive'],\n",
    "     'Cases Estimated': predicted_counts_now,\n",
    "     'Percent Increase': case_increase_percent,\n",
    "     'Tests per Million People': df_pred['tests_per_million'].round(1),\n",
    "     'Cases Estimated (range)': list(map(lambda x, y: '(%i, %i)' % (round(x), round(y)),\n",
    "                                        predicted_counts_now_lower, predicted_counts_now_upper)),\n",
    "     'Cases per Million': ((df_pred['positive'] / df_pred['total_population']) * 1e6),\n",
    "     'Positive Test Rate': (df_pred['positive'] / (df_pred['positive'] + df_pred['negative']))\n",
    "    },\n",
    "    index=df_pred.index)\n",
    "\n",
    "from datetime import datetime\n",
    "display(Markdown(\"## Summary for the United States on %s:\" % str(datetime.today())[:10]))\n",
    "display(Markdown(f\"**Reported Case Count:**  {df_summary['Cases Reported'].sum():,}\"))\n",
    "display(Markdown(f\"**Predicted Case Count:**  {df_summary['Cases Estimated'].sum():,}\"))\n",
    "case_increase_percent = 100. * (df_summary['Cases Estimated'].sum() - df_summary['Cases Reported'].sum()) / df_summary['Cases Estimated'].sum()\n",
    "display(Markdown(\"**Percentage Underreporting in Case Count:**  %.1f%%\" % case_increase_percent))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-04-28T12:12:53.624037Z",
     "iopub.status.busy": "2020-04-28T12:12:53.623410Z",
     "iopub.status.idle": "2020-04-28T12:12:53.625141Z",
     "shell.execute_reply": "2020-04-28T12:12:53.625597Z"
    },
    "papermill": {
     "duration": 0.311042,
     "end_time": "2020-04-28T12:12:53.625724",
     "exception": false,
     "start_time": "2020-04-28T12:12:53.314682",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "#hide\n",
    "df_summary.loc[:, 'Ratio'] = df_summary['Cases Estimated'] / df_summary['Cases Reported']\n",
    "df_summary.columns = ['Reported Cases', 'Est Cases', '% Increase',\n",
    "                      'Tests per Million', 'Est Range',\n",
    "                      'Cases per Million', 'Positive Test Rate',\n",
    "                      'Ratio']\n",
    "\n",
    "df_display = df_summary[['Reported Cases', 'Est Cases', 'Est Range', 'Ratio',\n",
    "                         'Tests per Million', 'Cases per Million',\n",
    "                         'Positive Test Rate']].copy()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "papermill": {
     "duration": 0.267868,
     "end_time": "2020-04-28T12:12:54.163335",
     "exception": false,
     "start_time": "2020-04-28T12:12:53.895467",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## COVID-19 Case Estimates, by State\n",
    "\n",
    "### Definition Of Fields:\n",
    "\n",
    "- **Reported Cases**:  The number of cases reported by each state, which is a function of how many tests are positive.\n",
    "- **Est Cases**: The predicted number of cases, accounting for the fact that not everyone is tested.\n",
    "- **Est Range**: The 95% confidence interval of the predicted number of cases.\n",
    "- **Ratio**: `Estimated Cases` divided by `Reported Cases`.\n",
    "- **Tests per Million**:  The number of tests administered per one million people.  The less tests administered per capita, the larger the difference between reported and estimated number of cases, generally.\n",
    "- **Cases per Million**: The number of **reported** cases per on million people.\n",
    "- **Positive Test Rate**: The **reported** percentage of positive tests."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-04-28T12:12:54.712774Z",
     "iopub.status.busy": "2020-04-28T12:12:54.712134Z",
     "iopub.status.idle": "2020-04-28T12:12:54.948933Z",
     "shell.execute_reply": "2020-04-28T12:12:54.948391Z"
    },
    "papermill": {
     "duration": 0.512815,
     "end_time": "2020-04-28T12:12:54.949050",
     "exception": false,
     "start_time": "2020-04-28T12:12:54.436235",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style  type=\"text/css\" >\n",
       "    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col0 {\n",
       "            background-color:  #7f2704;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col1 {\n",
       "            background-color:  #7f2704;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col3 {\n",
       "            background-color:  #ffefdf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col4 {\n",
       "            background-color:  #c84202;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col5 {\n",
       "            background-color:  #7f2704;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col6 {\n",
       "            background-color:  #e05206;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col0 {\n",
       "            background-color:  #fdad69;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col1 {\n",
       "            background-color:  #fda863;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col3 {\n",
       "            background-color:  #fedebf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col4 {\n",
       "            background-color:  #fd9a4e;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col5 {\n",
       "            background-color:  #b83c02;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col6 {\n",
       "            background-color:  #7f2704;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col0 {\n",
       "            background-color:  #fddab6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col1 {\n",
       "            background-color:  #fddab6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col3 {\n",
       "            background-color:  #feecda;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col4 {\n",
       "            background-color:  #ec620f;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col5 {\n",
       "            background-color:  #fa8331;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col6 {\n",
       "            background-color:  #fd9b50;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col0 {\n",
       "            background-color:  #fee1c4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col1 {\n",
       "            background-color:  #fedfc0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col3 {\n",
       "            background-color:  #fdd5ab;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col4 {\n",
       "            background-color:  #fdc48f;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col5 {\n",
       "            background-color:  #fdd5ad;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col6 {\n",
       "            background-color:  #fdac67;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col0 {\n",
       "            background-color:  #fee2c7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col1 {\n",
       "            background-color:  #fedfc0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col3 {\n",
       "            background-color:  #fdb678;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col4 {\n",
       "            background-color:  #fdd6ae;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col5 {\n",
       "            background-color:  #fff0e1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col6 {\n",
       "            background-color:  #fee6cf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col0 {\n",
       "            background-color:  #fee3c8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col1 {\n",
       "            background-color:  #fee1c4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col3 {\n",
       "            background-color:  #fdc692;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col4 {\n",
       "            background-color:  #fdd0a2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col5 {\n",
       "            background-color:  #fdd9b5;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col6 {\n",
       "            background-color:  #fda863;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col0 {\n",
       "            background-color:  #fee5cc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col1 {\n",
       "            background-color:  #fee3c8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col3 {\n",
       "            background-color:  #fdc38d;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col4 {\n",
       "            background-color:  #fdd0a2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col5 {\n",
       "            background-color:  #fdd3a9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col6 {\n",
       "            background-color:  #fd9446;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col0 {\n",
       "            background-color:  #fee8d2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col1 {\n",
       "            background-color:  #fee7d0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col3 {\n",
       "            background-color:  #fdcd9c;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col4 {\n",
       "            background-color:  #fdcb9b;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col5 {\n",
       "            background-color:  #feeddb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col6 {\n",
       "            background-color:  #fee2c7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col0 {\n",
       "            background-color:  #feebd8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col1 {\n",
       "            background-color:  #fee9d4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col3 {\n",
       "            background-color:  #fd9c51;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col4 {\n",
       "            background-color:  #fee5cb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col5 {\n",
       "            background-color:  #fff2e5;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col6 {\n",
       "            background-color:  #fee3c8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col0 {\n",
       "            background-color:  #feead6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col1 {\n",
       "            background-color:  #feead6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col3 {\n",
       "            background-color:  #fee8d2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col4 {\n",
       "            background-color:  #f67824;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col5 {\n",
       "            background-color:  #fdb06e;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col6 {\n",
       "            background-color:  #fdb576;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col0 {\n",
       "            background-color:  #feecd9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col1 {\n",
       "            background-color:  #feead6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col3 {\n",
       "            background-color:  #fda660;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col4 {\n",
       "            background-color:  #fedebd;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col5 {\n",
       "            background-color:  #fee6ce;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col6 {\n",
       "            background-color:  #fdb373;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col0 {\n",
       "            background-color:  #feebd8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col1 {\n",
       "            background-color:  #feead6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col3 {\n",
       "            background-color:  #fdd2a6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col4 {\n",
       "            background-color:  #fdac67;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col5 {\n",
       "            background-color:  #fd994d;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col6 {\n",
       "            background-color:  #ef6612;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col0 {\n",
       "            background-color:  #feeddc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col1 {\n",
       "            background-color:  #feeddb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col3 {\n",
       "            background-color:  #fdc692;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col4 {\n",
       "            background-color:  #fdc794;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col5 {\n",
       "            background-color:  #fddab6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col6 {\n",
       "            background-color:  #fdb475;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col0 {\n",
       "            background-color:  #ffefdf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col1 {\n",
       "            background-color:  #ffeedd;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col3 {\n",
       "            background-color:  #fd9a4e;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col4 {\n",
       "            background-color:  #fee4ca;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col5 {\n",
       "            background-color:  #feeddc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col6 {\n",
       "            background-color:  #fdd3a7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col0 {\n",
       "            background-color:  #ffefdf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col1 {\n",
       "            background-color:  #ffeedd;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col3 {\n",
       "            background-color:  #fdac67;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col4 {\n",
       "            background-color:  #fedcb9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col5 {\n",
       "            background-color:  #fee5cb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col6 {\n",
       "            background-color:  #fdb271;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col0 {\n",
       "            background-color:  #fff0e1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col1 {\n",
       "            background-color:  #ffefdf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col3 {\n",
       "            background-color:  #fd9243;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col4 {\n",
       "            background-color:  #fee6cf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col5 {\n",
       "            background-color:  #feecd9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col6 {\n",
       "            background-color:  #fdbf86;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col0 {\n",
       "            background-color:  #fff0e1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col1 {\n",
       "            background-color:  #ffefdf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col3 {\n",
       "            background-color:  #fd9c51;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col4 {\n",
       "            background-color:  #fee1c4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col5 {\n",
       "            background-color:  #fee5cc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col6 {\n",
       "            background-color:  #fda55f;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col0 {\n",
       "            background-color:  #fff0e1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col1 {\n",
       "            background-color:  #ffefe0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col3 {\n",
       "            background-color:  #fdd9b4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col4 {\n",
       "            background-color:  #fda762;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col5 {\n",
       "            background-color:  #feead6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col6 {\n",
       "            background-color:  #fee7d0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col0 {\n",
       "            background-color:  #fff2e5;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col1 {\n",
       "            background-color:  #fff1e4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col3 {\n",
       "            background-color:  #fd9b50;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col4 {\n",
       "            background-color:  #fee3c8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col5 {\n",
       "            background-color:  #fff2e5;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col6 {\n",
       "            background-color:  #fee5cb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col0 {\n",
       "            background-color:  #fff1e4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col1 {\n",
       "            background-color:  #fff1e4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col3 {\n",
       "            background-color:  #fdd6ae;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col4 {\n",
       "            background-color:  #fdab66;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col5 {\n",
       "            background-color:  #feeddb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col6 {\n",
       "            background-color:  #feead6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col0 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col1 {\n",
       "            background-color:  #fff2e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col3 {\n",
       "            background-color:  #fda863;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col4 {\n",
       "            background-color:  #fedfc0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col5 {\n",
       "            background-color:  #ffefdf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col6 {\n",
       "            background-color:  #fedebf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col0 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col1 {\n",
       "            background-color:  #fff2e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col3 {\n",
       "            background-color:  #fd994d;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col4 {\n",
       "            background-color:  #fee7d0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col5 {\n",
       "            background-color:  #fff1e4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col6 {\n",
       "            background-color:  #fedebf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col0 {\n",
       "            background-color:  #fff2e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col1 {\n",
       "            background-color:  #fff2e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col3 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col4 {\n",
       "            background-color:  #7f2704;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col5 {\n",
       "            background-color:  #fd9547;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col6 {\n",
       "            background-color:  #fdd0a2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col0 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col1 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col3 {\n",
       "            background-color:  #fdcb9b;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col4 {\n",
       "            background-color:  #fdd3a7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col5 {\n",
       "            background-color:  #ffeedd;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col6 {\n",
       "            background-color:  #fee3c8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col0 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col1 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col3 {\n",
       "            background-color:  #fda863;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col4 {\n",
       "            background-color:  #fedfc0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col5 {\n",
       "            background-color:  #fff0e2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col6 {\n",
       "            background-color:  #fee2c7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col0 {\n",
       "            background-color:  #fff3e7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col1 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col3 {\n",
       "            background-color:  #fdad69;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col4 {\n",
       "            background-color:  #feddbc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col5 {\n",
       "            background-color:  #fee9d4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col6 {\n",
       "            background-color:  #fdc794;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col0 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col1 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col3 {\n",
       "            background-color:  #fdd7b1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col4 {\n",
       "            background-color:  #fdb170;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col5 {\n",
       "            background-color:  #fee8d2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col6 {\n",
       "            background-color:  #fee0c1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col0 {\n",
       "            background-color:  #fff3e7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col1 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col3 {\n",
       "            background-color:  #fda35c;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col4 {\n",
       "            background-color:  #fee5cc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col5 {\n",
       "            background-color:  #fff0e1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col6 {\n",
       "            background-color:  #fedcb9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col0 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col1 {\n",
       "            background-color:  #fff3e7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col3 {\n",
       "            background-color:  #fdb06e;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col4 {\n",
       "            background-color:  #fedcb9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col5 {\n",
       "            background-color:  #feecda;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col6 {\n",
       "            background-color:  #fdd7af;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col0 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col1 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col3 {\n",
       "            background-color:  #fd9e54;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col4 {\n",
       "            background-color:  #fee2c6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col5 {\n",
       "            background-color:  #fff1e4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col6 {\n",
       "            background-color:  #fee5cb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col0 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col1 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col3 {\n",
       "            background-color:  #fdd8b2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col4 {\n",
       "            background-color:  #fdb77a;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col5 {\n",
       "            background-color:  #fdcd9c;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col6 {\n",
       "            background-color:  #fda55f;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col0 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col1 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col3 {\n",
       "            background-color:  #fda057;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col4 {\n",
       "            background-color:  #fee2c6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col5 {\n",
       "            background-color:  #fff3e7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col6 {\n",
       "            background-color:  #feebd7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col0 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col1 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col3 {\n",
       "            background-color:  #fee8d2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col4 {\n",
       "            background-color:  #f77a27;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col5 {\n",
       "            background-color:  #ffeedd;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col6 {\n",
       "            background-color:  #fff0e1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col0 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col1 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col3 {\n",
       "            background-color:  #fee5cc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col4 {\n",
       "            background-color:  #fd984b;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col5 {\n",
       "            background-color:  #fdb576;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col6 {\n",
       "            background-color:  #fda55f;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col0 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col1 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col3 {\n",
       "            background-color:  #f9812e;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col4 {\n",
       "            background-color:  #fee7d0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col5 {\n",
       "            background-color:  #ffefe0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col6 {\n",
       "            background-color:  #fdd6ae;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col0 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col1 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col3 {\n",
       "            background-color:  #fdb77a;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col4 {\n",
       "            background-color:  #fdd8b2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col5 {\n",
       "            background-color:  #fff2e5;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col6 {\n",
       "            background-color:  #feebd7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col0 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col1 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col3 {\n",
       "            background-color:  #fd9d53;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col4 {\n",
       "            background-color:  #fedfc0;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col5 {\n",
       "            background-color:  #feecd9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col6 {\n",
       "            background-color:  #fdd1a4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col0 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col1 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col3 {\n",
       "            background-color:  #fdb06e;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col4 {\n",
       "            background-color:  #fdd8b2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col5 {\n",
       "            background-color:  #fff0e2;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col6 {\n",
       "            background-color:  #fee7d1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col0 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col1 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col3 {\n",
       "            background-color:  #feddbc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col4 {\n",
       "            background-color:  #fd9344;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col5 {\n",
       "            background-color:  #ffeedd;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col6 {\n",
       "            background-color:  #ffeede;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col0 {\n",
       "            background-color:  #fff5ea;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col1 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col3 {\n",
       "            background-color:  #fda660;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col4 {\n",
       "            background-color:  #feddbc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col5 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col6 {\n",
       "            background-color:  #ffefdf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col0 {\n",
       "            background-color:  #fff5ea;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col1 {\n",
       "            background-color:  #fff5ea;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col3 {\n",
       "            background-color:  #fdcb9b;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col4 {\n",
       "            background-color:  #fdc189;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col5 {\n",
       "            background-color:  #fee2c7;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col6 {\n",
       "            background-color:  #fdd1a3;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col0 {\n",
       "            background-color:  #fff5ea;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col1 {\n",
       "            background-color:  #fff5ea;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col3 {\n",
       "            background-color:  #fdaf6c;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col4 {\n",
       "            background-color:  #fee0c3;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col5 {\n",
       "            background-color:  #fff0e1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col6 {\n",
       "            background-color:  #fee0c3;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col0 {\n",
       "            background-color:  #fff5ea;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col1 {\n",
       "            background-color:  #fff5ea;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col3 {\n",
       "            background-color:  #fdc189;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col4 {\n",
       "            background-color:  #fdd5ab;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col5 {\n",
       "            background-color:  #feeddc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col6 {\n",
       "            background-color:  #fee0c3;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col0 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col1 {\n",
       "            background-color:  #fff5ea;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col3 {\n",
       "            background-color:  #7f2704;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col4 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col5 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col6 {\n",
       "            background-color:  #fdd3a9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col0 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col1 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col3 {\n",
       "            background-color:  #fdac67;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col4 {\n",
       "            background-color:  #fdd9b4;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col5 {\n",
       "            background-color:  #fff3e6;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col6 {\n",
       "            background-color:  #feecd9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col0 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col1 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col3 {\n",
       "            background-color:  #fddbb8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col4 {\n",
       "            background-color:  #fda25a;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col5 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col6 {\n",
       "            background-color:  #fff4e9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col0 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col1 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col3 {\n",
       "            background-color:  #fee5cc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col4 {\n",
       "            background-color:  #fa8532;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col5 {\n",
       "            background-color:  #ffeede;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col6 {\n",
       "            background-color:  #fff0e1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col0 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col1 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col3 {\n",
       "            background-color:  #fedcb9;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col4 {\n",
       "            background-color:  #fda25a;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col5 {\n",
       "            background-color:  #feeddc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col6 {\n",
       "            background-color:  #feecda;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col0 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col1 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col3 {\n",
       "            background-color:  #fdd7b1;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col4 {\n",
       "            background-color:  #fdb678;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col5 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col6 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col0 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col1 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col3 {\n",
       "            background-color:  #fdb475;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col4 {\n",
       "            background-color:  #feddbc;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col5 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col6 {\n",
       "            background-color:  #fff2e5;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col0 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col1 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col3 {\n",
       "            background-color:  #fdba7f;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col4 {\n",
       "            background-color:  #fdd6ae;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col5 {\n",
       "            background-color:  #fff4e8;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col6 {\n",
       "            background-color:  #ffefdf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col0 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col1 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col3 {\n",
       "            background-color:  #fedebf;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col4 {\n",
       "            background-color:  #fdad69;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col5 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }    #T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col6 {\n",
       "            background-color:  #fff5eb;\n",
       "            color:  #000000;\n",
       "        }</style><table id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >Reported Cases</th>        <th class=\"col_heading level0 col1\" >Est Cases</th>        <th class=\"col_heading level0 col2\" >Est Range</th>        <th class=\"col_heading level0 col3\" >Ratio</th>        <th class=\"col_heading level0 col4\" >Tests per Million</th>        <th class=\"col_heading level0 col5\" >Cases per Million</th>        <th class=\"col_heading level0 col6\" >Positive Test Rate</th>    </tr>    <tr>        <th class=\"index_name level0\" >state</th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row0\" class=\"row_heading level0 row0\" >NY</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col0\" class=\"data row0 col0\" >291996</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col1\" class=\"data row0 col1\" >340820</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col2\" class=\"data row0 col2\" >(302061, 459492)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col3\" class=\"data row0 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col4\" class=\"data row0 col4\" >42465.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col5\" class=\"data row0 col5\" >15009.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row0_col6\" class=\"data row0 col6\" >35%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row1\" class=\"row_heading level0 row1\" >NJ</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col0\" class=\"data row1 col0\" >111188</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col1\" class=\"data row1 col1\" >135678</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col2\" class=\"data row1 col2\" >(115364, 210309)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col3\" class=\"data row1 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col4\" class=\"data row1 col4\" >25644.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col5\" class=\"data row1 col5\" >12518.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row1_col6\" class=\"data row1 col6\" >49%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row2\" class=\"row_heading level0 row2\" >MA</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col0\" class=\"data row2 col0\" >56462</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col1\" class=\"data row2 col1\" >66473</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col2\" class=\"data row2 col2\" >(58466, 96184)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col3\" class=\"data row2 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col4\" class=\"data row2 col4\" >35529.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col5\" class=\"data row2 col5\" >8191.8</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row2_col6\" class=\"data row2 col6\" >23%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row3\" class=\"row_heading level0 row3\" >IL</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col0\" class=\"data row3 col0\" >45883</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col1\" class=\"data row3 col1\" >57135</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col2\" class=\"data row3 col2\" >(48282, 83906)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col3\" class=\"data row3 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col4\" class=\"data row3 col4\" >17963.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col5\" class=\"data row3 col5\" >3620.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row3_col6\" class=\"data row3 col6\" >20%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row4\" class=\"row_heading level0 row4\" >CA</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col0\" class=\"data row4 col0\" >43464</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col1\" class=\"data row4 col1\" >56593</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col2\" class=\"data row4 col2\" >(45611, 95929)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col3\" class=\"data row4 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col4\" class=\"data row4 col4\" >14006.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col5\" class=\"data row4 col5\" >1100.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row4_col6\" class=\"data row4 col6\" >8%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row5\" class=\"row_heading level0 row5\" >PA</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col0\" class=\"data row5 col0\" >42050</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col1\" class=\"data row5 col1\" >53571</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col2\" class=\"data row5 col2\" >(44633, 82378)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col3\" class=\"data row5 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col4\" class=\"data row5 col4\" >15889.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col5\" class=\"data row5 col5\" >3284.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row5_col6\" class=\"data row5 col6\" >21%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row6\" class=\"row_heading level0 row6\" >MI</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col0\" class=\"data row6 col0\" >38210</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col1\" class=\"data row6 col1\" >48900</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col2\" class=\"data row6 col2\" >(40688, 75613)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col3\" class=\"data row6 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col4\" class=\"data row6 col4\" >15796.8</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col5\" class=\"data row6 col5\" >3826.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row6_col6\" class=\"data row6 col6\" >24%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row7\" class=\"row_heading level0 row7\" >FL</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col0\" class=\"data row7 col0\" >32138</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col1\" class=\"data row7 col1\" >40633</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col2\" class=\"data row7 col2\" >(34133, 60521)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col3\" class=\"data row7 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col4\" class=\"data row7 col4\" >16596.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col5\" class=\"data row7 col5\" >1496.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row7_col6\" class=\"data row7 col6\" >9%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row8\" class=\"row_heading level0 row8\" >TX</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col0\" class=\"data row8 col0\" >25297</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col1\" class=\"data row8 col1\" >34078</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col2\" class=\"data row8 col2\" >(27115, 59632)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col3\" class=\"data row8 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col4\" class=\"data row8 col4\" >10019.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col5\" class=\"data row8 col5\" >872.4</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row8_col6\" class=\"data row8 col6\" >9%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row9\" class=\"row_heading level0 row9\" >LA</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col0\" class=\"data row9 col0\" >27068</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col1\" class=\"data row9 col1\" >32258</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col2\" class=\"data row9 col2\" >(28129, 45562)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col3\" class=\"data row9 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col4\" class=\"data row9 col4\" >31618.7</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col5\" class=\"data row9 col5\" >5822.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row9_col6\" class=\"data row9 col6\" >18%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row10\" class=\"row_heading level0 row10\" >GA</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col0\" class=\"data row10 col0\" >23913</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col1\" class=\"data row10 col1\" >31779</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col2\" class=\"data row10 col2\" >(25669, 51783)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col3\" class=\"data row10 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col4\" class=\"data row10 col4\" >11977.4</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col5\" class=\"data row10 col5\" >2252.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row10_col6\" class=\"data row10 col6\" >19%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row11\" class=\"row_heading level0 row11\" >CT</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col0\" class=\"data row11 col0\" >25269</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col1\" class=\"data row11 col1\" >31659</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col2\" class=\"data row11 col2\" >(26424, 45910)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col3\" class=\"data row11 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col4\" class=\"data row11 col4\" >22385.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col5\" class=\"data row11 col5\" >7087.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row11_col6\" class=\"data row11 col6\" >32%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row12\" class=\"row_heading level0 row12\" >MD</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col0\" class=\"data row12 col0\" >19487</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col1\" class=\"data row12 col1\" >24839</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col2\" class=\"data row12 col2\" >(20691, 38562)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col3\" class=\"data row12 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col4\" class=\"data row12 col4\" >17363.8</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col5\" class=\"data row12 col5\" >3223.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row12_col6\" class=\"data row12 col6\" >19%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row13\" class=\"row_heading level0 row13\" >OH</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col0\" class=\"data row13 col0\" >15699</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col1\" class=\"data row13 col1\" >21197</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col2\" class=\"data row13 col2\" >(17047, 34954)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col3\" class=\"data row13 col3\" >1.4</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col4\" class=\"data row13 col4\" >10213.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col5\" class=\"data row13 col5\" >1343.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row13_col6\" class=\"data row13 col6\" >13%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row14\" class=\"row_heading level0 row14\" >IN</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col0\" class=\"data row14 col0\" >15961</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col1\" class=\"data row14 col1\" >21057</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col2\" class=\"data row14 col2\" >(17015, 35886)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col3\" class=\"data row14 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col4\" class=\"data row14 col4\" >12548.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col5\" class=\"data row14 col5\" >2370.8</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row14_col6\" class=\"data row14 col6\" >19%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row15\" class=\"row_heading level0 row15\" >VA</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col0\" class=\"data row15 col0\" >13535</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col1\" class=\"data row15 col1\" >18474</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col2\" class=\"data row15 col2\" >(14533, 31982)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col3\" class=\"data row15 col3\" >1.4</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col4\" class=\"data row15 col4\" >9452.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col5\" class=\"data row15 col5\" >1585.7</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row15_col6\" class=\"data row15 col6\" >17%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row16\" class=\"row_heading level0 row16\" >CO</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col0\" class=\"data row16 col0\" >13441</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col1\" class=\"data row16 col1\" >18110</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col2\" class=\"data row16 col2\" >(14406, 32266)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col3\" class=\"data row16 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col4\" class=\"data row16 col4\" >10987.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col5\" class=\"data row16 col5\" >2334.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row16_col6\" class=\"data row16 col6\" >21%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row17\" class=\"row_heading level0 row17\" >WA</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col0\" class=\"data row17 col0\" >13521</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col1\" class=\"data row17 col1\" >16690</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col2\" class=\"data row17 col2\" >(14204, 24805)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col3\" class=\"data row17 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col4\" class=\"data row17 col4\" >23043.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col5\" class=\"data row17 col5\" >1775.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row17_col6\" class=\"data row17 col6\" >8%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row18\" class=\"row_heading level0 row18\" >NC</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col0\" class=\"data row18 col0\" >9142</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col1\" class=\"data row18 col1\" >12335</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col2\" class=\"data row18 col2\" >(9774, 22016)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col3\" class=\"data row18 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col4\" class=\"data row18 col4\" >10480.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col5\" class=\"data row18 col5\" >871.7</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row18_col6\" class=\"data row18 col6\" >8%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row19\" class=\"row_heading level0 row19\" >TN</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col0\" class=\"data row19 col0\" >9918</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col1\" class=\"data row19 col1\" >12315</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col2\" class=\"data row19 col2\" >(10377, 19088)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col3\" class=\"data row19 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col4\" class=\"data row19 col4\" >22609.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col5\" class=\"data row19 col5\" >1452.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row19_col6\" class=\"data row19 col6\" >6%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row20\" class=\"row_heading level0 row20\" >MO</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col0\" class=\"data row20 col0\" >7171</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col1\" class=\"data row20 col1\" >9508</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col2\" class=\"data row20 col2\" >(7606, 15906)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col3\" class=\"data row20 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col4\" class=\"data row20 col4\" >11585.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col5\" class=\"data row20 col5\" >1168.4</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row20_col6\" class=\"data row20 col6\" >10%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row21\" class=\"row_heading level0 row21\" >AZ</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col0\" class=\"data row21 col0\" >6716</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col1\" class=\"data row21 col1\" >9085</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col2\" class=\"data row21 col2\" >(7216, 15760)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col3\" class=\"data row21 col3\" >1.4</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col4\" class=\"data row21 col4\" >9142.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col5\" class=\"data row21 col5\" >922.7</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row21_col6\" class=\"data row21 col6\" >10%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row22\" class=\"row_heading level0 row22\" >RI</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col0\" class=\"data row22 col0\" >7708</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col1\" class=\"data row22 col1\" >8805</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col2\" class=\"data row22 col2\" >(7918, 11525)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col3\" class=\"data row22 col3\" >1.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col4\" class=\"data row22 col4\" >52753.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col5\" class=\"data row22 col5\" >7276.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row22_col6\" class=\"data row22 col6\" >14%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row23\" class=\"row_heading level0 row23\" >AL</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col0\" class=\"data row23 col0\" >6499</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col1\" class=\"data row23 col1\" >8228</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col2\" class=\"data row23 col2\" >(6898, 11985)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col3\" class=\"data row23 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col4\" class=\"data row23 col4\" >15091.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col5\" class=\"data row23 col5\" >1325.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row23_col6\" class=\"data row23 col6\" >9%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row24\" class=\"row_heading level0 row24\" >WI</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col0\" class=\"data row24 col0\" >6081</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col1\" class=\"data row24 col1\" >8062</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col2\" class=\"data row24 col2\" >(6479, 13195)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col3\" class=\"data row24 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col4\" class=\"data row24 col4\" >11574.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col5\" class=\"data row24 col5\" >1044.4</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row24_col6\" class=\"data row24 col6\" >9%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row25\" class=\"row_heading level0 row25\" >IA</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col0\" class=\"data row25 col0\" >5868</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col1\" class=\"data row25 col1\" >7733</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col2\" class=\"data row25 col2\" >(6252, 13260)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col3\" class=\"data row25 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col4\" class=\"data row25 col4\" >12091.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col5\" class=\"data row25 col5\" >1859.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row25_col6\" class=\"data row25 col6\" >15%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row26\" class=\"row_heading level0 row26\" >MS</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col0\" class=\"data row26 col0\" >6094</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col1\" class=\"data row26 col1\" >7546</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col2\" class=\"data row26 col2\" >(6338, 11539)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col3\" class=\"data row26 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col4\" class=\"data row26 col4\" >21323.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col5\" class=\"data row26 col5\" >2047.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row26_col6\" class=\"data row26 col6\" >10%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row27\" class=\"row_heading level0 row27\" >SC</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col0\" class=\"data row27 col0\" >5490</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col1\" class=\"data row27 col1\" >7324</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col2\" class=\"data row27 col2\" >(5848, 11836)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col3\" class=\"data row27 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col4\" class=\"data row27 col4\" >9859.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col5\" class=\"data row27 col5\" >1066.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row27_col6\" class=\"data row27 col6\" >11%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row28\" class=\"row_heading level0 row28\" >NV</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col0\" class=\"data row28 col0\" >4690</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col1\" class=\"data row28 col1\" >6160</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col2\" class=\"data row28 col2\" >(5022, 10293)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col3\" class=\"data row28 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col4\" class=\"data row28 col4\" >12601.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col5\" class=\"data row28 col5\" >1522.7</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row28_col6\" class=\"data row28 col6\" >12%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row29\" class=\"row_heading level0 row29\" >KY</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col0\" class=\"data row29 col0\" >4074</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col1\" class=\"data row29 col1\" >5474</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col2\" class=\"data row29 col2\" >(4295, 9709)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col3\" class=\"data row29 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col4\" class=\"data row29 col4\" >10849.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col5\" class=\"data row29 col5\" >911.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row29_col6\" class=\"data row29 col6\" >8%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row30\" class=\"row_heading level0 row30\" >DE</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col0\" class=\"data row30 col0\" >4162</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col1\" class=\"data row30 col1\" >5150</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col2\" class=\"data row30 col2\" >(4346, 7771)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col3\" class=\"data row30 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col4\" class=\"data row30 col4\" >20144.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col5\" class=\"data row30 col5\" >4274.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row30_col6\" class=\"data row30 col6\" >21%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row31\" class=\"row_heading level0 row31\" >MN</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col0\" class=\"data row31 col0\" >3816</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col1\" class=\"data row31 col1\" >5110</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col2\" class=\"data row31 col2\" >(4104, 8850)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col3\" class=\"data row31 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col4\" class=\"data row31 col4\" >10863.8</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col5\" class=\"data row31 col5\" >676.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row31_col6\" class=\"data row31 col6\" >6%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row32\" class=\"row_heading level0 row32\" >UT</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col0\" class=\"data row32 col0\" >4233</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col1\" class=\"data row32 col1\" >5047</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col2\" class=\"data row32 col2\" >(4393, 7207)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col3\" class=\"data row32 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col4\" class=\"data row32 col4\" >31252.7</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col5\" class=\"data row32 col5\" >1320.4</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row32_col6\" class=\"data row32 col6\" >4%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row33\" class=\"row_heading level0 row33\" >DC</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col0\" class=\"data row33 col0\" >3892</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col1\" class=\"data row33 col1\" >4679</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col2\" class=\"data row33 col2\" >(4045, 6783)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col3\" class=\"data row33 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col4\" class=\"data row33 col4\" >26094.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col5\" class=\"data row33 col5\" >5514.7</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row33_col6\" class=\"data row33 col6\" >21%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row34\" class=\"row_heading level0 row34\" >KS</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col0\" class=\"data row34 col0\" >3328</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col1\" class=\"data row34 col1\" >4632</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col2\" class=\"data row34 col2\" >(3573, 7847)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col3\" class=\"data row34 col3\" >1.4</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col4\" class=\"data row34 col4\" >9325.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col5\" class=\"data row34 col5\" >1142.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row34_col6\" class=\"data row34 col6\" >12%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row35\" class=\"row_heading level0 row35\" >OK</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col0\" class=\"data row35 col0\" >3280</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col1\" class=\"data row35 col1\" >4266</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col2\" class=\"data row35 col2\" >(3485, 7053)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col3\" class=\"data row35 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col4\" class=\"data row35 col4\" >13437.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col5\" class=\"data row35 col5\" >828.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row35_col6\" class=\"data row35 col6\" >6%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row36\" class=\"row_heading level0 row36\" >NE</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col0\" class=\"data row36 col0\" >3028</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col1\" class=\"data row36 col1\" >4071</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col2\" class=\"data row36 col2\" >(3253, 7332)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col3\" class=\"data row36 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col4\" class=\"data row36 col4\" >11560.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col5\" class=\"data row36 col5\" >1565.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row36_col6\" class=\"data row36 col6\" >14%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row37\" class=\"row_heading level0 row37\" >AR</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col0\" class=\"data row37 col0\" >3017</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col1\" class=\"data row37 col1\" >3963</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col2\" class=\"data row37 col2\" >(3210, 7660)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col3\" class=\"data row37 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col4\" class=\"data row37 col4\" >13406.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col5\" class=\"data row37 col5\" >999.7</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row37_col6\" class=\"data row37 col6\" >7%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row38\" class=\"row_heading level0 row38\" >NM</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col0\" class=\"data row38 col0\" >2726</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col1\" class=\"data row38 col1\" >3336</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col2\" class=\"data row38 col2\" >(2850, 4773)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col3\" class=\"data row38 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col4\" class=\"data row38 col4\" >27000.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col5\" class=\"data row38 col5\" >1300.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row38_col6\" class=\"data row38 col6\" >5%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row39\" class=\"row_heading level0 row39\" >OR</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col0\" class=\"data row39 col0\" >2354</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col1\" class=\"data row39 col1\" >3127</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col2\" class=\"data row39 col2\" >(2494, 5237)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col3\" class=\"data row39 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col4\" class=\"data row39 col4\" >12138.7</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col5\" class=\"data row39 col5\" >558.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row39_col6\" class=\"data row39 col6\" >5%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row40\" class=\"row_heading level0 row40\" >SD</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col0\" class=\"data row40 col0\" >2245</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col1\" class=\"data row40 col1\" >2840</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col2\" class=\"data row40 col2\" >(2381, 4474)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col3\" class=\"data row40 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col4\" class=\"data row40 col4\" >18510.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col5\" class=\"data row40 col5\" >2537.7</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row40_col6\" class=\"data row40 col6\" >14%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row41\" class=\"row_heading level0 row41\" >ID</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col0\" class=\"data row41 col0\" >1897</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col1\" class=\"data row41 col1\" >2494</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col2\" class=\"data row41 col2\" >(2021, 3961)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col3\" class=\"data row41 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col4\" class=\"data row41 col4\" >11132.8</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col5\" class=\"data row41 col5\" >1061.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row41_col6\" class=\"data row41 col6\" >10%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row42\" class=\"row_heading level0 row42\" >NH</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col0\" class=\"data row42 col0\" >1864</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col1\" class=\"data row42 col1\" >2392</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col2\" class=\"data row42 col2\" >(1976, 3602)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col3\" class=\"data row42 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col4\" class=\"data row42 col4\" >14506.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col5\" class=\"data row42 col5\" >1370.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row42_col6\" class=\"data row42 col6\" >9%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row43\" class=\"row_heading level0 row43\" >PR</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col0\" class=\"data row43 col0\" >1389</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col1\" class=\"data row43 col1\" >2228</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col2\" class=\"data row43 col2\" >(1578, 4800)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col3\" class=\"data row43 col3\" >1.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col4\" class=\"data row43 col4\" >3351.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col5\" class=\"data row43 col5\" >434.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row43_col6\" class=\"data row43 col6\" >13%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row44\" class=\"row_heading level0 row44\" >ME</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col0\" class=\"data row44 col0\" >1023</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col1\" class=\"data row44 col1\" >1350</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col2\" class=\"data row44 col2\" >(1095, 2127)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col3\" class=\"data row44 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col4\" class=\"data row44 col4\" >13247.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col5\" class=\"data row44 col5\" >761.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row44_col6\" class=\"data row44 col6\" >6%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row45\" class=\"row_heading level0 row45\" >WV</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col0\" class=\"data row45 col0\" >1063</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col1\" class=\"data row45 col1\" >1307</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col2\" class=\"data row45 col2\" >(1106, 1870)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col3\" class=\"data row45 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col4\" class=\"data row45 col4\" >24015.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col5\" class=\"data row45 col5\" >593.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row45_col6\" class=\"data row45 col6\" >2%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row46\" class=\"row_heading level0 row46\" >ND</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col0\" class=\"data row46 col0\" >942</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col1\" class=\"data row46 col1\" >1133</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col2\" class=\"data row46 col2\" >(981, 1554)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col3\" class=\"data row46 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col4\" class=\"data row46 col4\" >29438.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col5\" class=\"data row46 col5\" >1236.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row46_col6\" class=\"data row46 col6\" >4%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row47\" class=\"row_heading level0 row47\" >VT</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col0\" class=\"data row47 col0\" >855</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col1\" class=\"data row47 col1\" >1050</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col2\" class=\"data row47 col2\" >(896, 1526)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col3\" class=\"data row47 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col4\" class=\"data row47 col4\" >24155.9</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col5\" class=\"data row47 col5\" >1370.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row47_col6\" class=\"data row47 col6\" >6%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row48\" class=\"row_heading level0 row48\" >HI</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col0\" class=\"data row48 col0\" >606</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col1\" class=\"data row48 col1\" >751</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col2\" class=\"data row48 col2\" >(634, 1104)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col3\" class=\"data row48 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col4\" class=\"data row48 col4\" >20489.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col5\" class=\"data row48 col5\" >428.0</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row48_col6\" class=\"data row48 col6\" >2%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row49\" class=\"row_heading level0 row49\" >MT</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col0\" class=\"data row49 col0\" >449</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col1\" class=\"data row49 col1\" >586</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col2\" class=\"data row49 col2\" >(480, 954)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col3\" class=\"data row49 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col4\" class=\"data row49 col4\" >12194.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col5\" class=\"data row49 col5\" >420.1</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row49_col6\" class=\"data row49 col6\" >3%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row50\" class=\"row_heading level0 row50\" >WY</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col0\" class=\"data row50 col0\" >370</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col1\" class=\"data row50 col1\" >479</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col2\" class=\"data row50 col2\" >(392, 742)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col3\" class=\"data row50 col3\" >1.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col4\" class=\"data row50 col4\" >14111.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col5\" class=\"data row50 col5\" >639.3</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row50_col6\" class=\"data row50 col6\" >5%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030level0_row51\" class=\"row_heading level0 row51\" >AK</th>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col0\" class=\"data row51 col0\" >345</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col1\" class=\"data row51 col1\" >421</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col2\" class=\"data row51 col2\" >(358, 632)</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col3\" class=\"data row51 col3\" >1.2</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col4\" class=\"data row51 col4\" >22221.5</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col5\" class=\"data row51 col5\" >471.6</td>\n",
       "                        <td id=\"T_971e0a18_8949_11ea_8db1_000d3a1b4030row51_col6\" class=\"data row51 col6\" >2%</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x7f9d68164be0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#hide_input\n",
    "df_display.sort_values(\n",
    "    by='Est Cases', ascending=False).style.background_gradient(\n",
    "    cmap='Oranges').format(\n",
    "    {'Ratio': \"{:.1f}\"}).format(\n",
    "    {'Tests per Million': \"{:.1f}\"}).format(\n",
    "    {'Cases per Million': \"{:.1f}\"}).format(\n",
    "    {'Positive Test Rate': \"{:.0%}\"})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-04-28T12:12:55.517803Z",
     "iopub.status.busy": "2020-04-28T12:12:55.517179Z",
     "iopub.status.idle": "2020-04-28T12:12:56.086763Z",
     "shell.execute_reply": "2020-04-28T12:12:56.085638Z"
    },
    "papermill": {
     "duration": 0.863533,
     "end_time": "2020-04-28T12:12:56.086888",
     "exception": false,
     "start_time": "2020-04-28T12:12:55.223355",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#hide_input\n",
    "\n",
    "df_plot = df_summary.copy(deep=True)\n",
    "\n",
    "# Compute predicted cases per million\n",
    "df_plot['predicted_counts_now_pm'] =  1e6 * (\n",
    "    df_pred['positive'] / prob_missing_now.mean(axis=0)) / df_pred['total_population']\n",
    "\n",
    "df_plot['predicted_counts_now_lower_pm'] = 1e6 * (\n",
    "    df_pred['positive'] / prob_missing_now.quantile(0.975, axis=0))/ df_pred['total_population']\n",
    "df_plot['predicted_counts_now_upper_pm'] = 1e6 * (\n",
    "    df_pred['positive'] / prob_missing_now.quantile(0.025, axis=0))/ df_pred['total_population']\n",
    "\n",
    "df_plot.sort_values('predicted_counts_now_pm', ascending=False, inplace=True)\n",
    "\n",
    "xerr = [\n",
    "    df_plot['predicted_counts_now_pm'] - df_plot['predicted_counts_now_lower_pm'], \n",
    "    df_plot['predicted_counts_now_upper_pm'] - df_plot['predicted_counts_now_pm']]\n",
    "\n",
    "fig, axs = plt.subplots(1, 1, figsize=(15, 15))\n",
    "ax = plt.errorbar(df_plot['predicted_counts_now_pm'], range(len(df_plot)-1, -1, -1),\n",
    "                  xerr=xerr, fmt='o', elinewidth=1, label='Estimate')\n",
    "ax = plt.yticks(range(len(df_plot)), df_plot.index[::-1])\n",
    "ax = plt.errorbar(df_plot['Cases per Million'], range(len(df_plot)-1, -1, -1),\n",
    "                  xerr=None, fmt='.', color='k', label='Reported')\n",
    "ax = plt.xlabel('COVID-19 Case Counts Per Million People', size=20)\n",
    "ax = plt.legend(fontsize='xx-large', loc=4)\n",
    "ax = plt.grid(linestyle='--', color='grey', axis='x')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "papermill": {
     "duration": 0.274104,
     "end_time": "2020-04-28T12:12:56.636181",
     "exception": false,
     "start_time": "2020-04-28T12:12:56.362077",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Appendix: Model Diagnostics \n",
    "\n",
    "### Derived relationship between Test Capacity and Case Under-reporting\n",
    "\n",
    "Plotted is the estimated relationship between test capacity (in terms of people per test -- larger = less testing) and the likelihood a COVID-19 case is reported (lower = more under-reporting of cases).\n",
    "\n",
    "The lines represent the posterior samples from our MCMC run (note the x-axis is plotted on a log scale).  The rug plot shows the current test capacity for each state (black '|') and the capacity one week ago (cyan '+').  For comparison, South Korea's testing capacity is currently at the very left of the graph (200 people per test)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-04-28T12:12:57.199044Z",
     "iopub.status.busy": "2020-04-28T12:12:57.193015Z",
     "iopub.status.idle": "2020-04-28T12:12:59.445424Z",
     "shell.execute_reply": "2020-04-28T12:12:59.445893Z"
    },
    "papermill": {
     "duration": 2.535947,
     "end_time": "2020-04-28T12:12:59.446035",
     "exception": false,
     "start_time": "2020-04-28T12:12:56.910088",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1008x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#hide_input\n",
    "\n",
    "# Plot pop/test vs. Prob of case detection for all posterior samples:\n",
    "x = np.linspace(0.0, 4.0, 101)\n",
    "logit_pcase = pd.DataFrame([\n",
    "    trace['alpha'][i] + trace['beta'][i] * x\n",
    "    for i in range(n)])\n",
    "pcase = np.exp(logit_pcase) / (np.exp(logit_pcase) + 1)\n",
    "\n",
    "fig, ax = plt.subplots(1, 1, figsize=(14, 9))\n",
    "for i in range(n):\n",
    "    ax = plt.plot(10**(ppt_sk + x), pcase.iloc[i], color='grey', lw=.1, alpha=.5)\n",
    "    plt.xscale('log')\n",
    "    plt.xlabel('State-wise population per test', size=14)\n",
    "    plt.ylabel('Probability a true case is detected', size=14)\n",
    "\n",
    "# rug plots:\n",
    "ax=plt.plot(df_pred['people_per_test'], np.zeros(len(df_pred)),\n",
    "            marker='|', color='k', ls='', ms=20,\n",
    "           label='U.S. State-wise Test Capacity Now')\n",
    "ax=plt.plot(df['people_per_test_7_days_ago'], np.zeros(len(df)),\n",
    "            marker='+', color='c', ls='', ms=10,\n",
    "           label='U.S. State-wise Test Capacity 7 Days Ago')\n",
    "ax = plt.legend(fontsize='x-large')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "papermill": {
     "duration": 0.273575,
     "end_time": "2020-04-28T12:12:59.995373",
     "exception": false,
     "start_time": "2020-04-28T12:12:59.721798",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## About this Analysis\n",
    "\n",
    "This analysis was done by [Joseph Richards](https://twitter.com/joeyrichar).\n",
    "\n",
    "This project[^1] uses the testing rates per state from [https://covidtracking.com/](https://covidtracking.com/), which reports case counts and mortality by state.  This is used to **estimate the number of unreported (untested) COVID-19 cases in each U.S. state.**\n",
    "\n",
    "The analysis makes a few assumptions:\n",
    "\n",
    "1. The probability that a case is reported by a state is a function of the number of tests run per person in that state.  Hence the degree of under-reported cases is a function of tests run per capita.\n",
    "2. The underlying mortality rate is the same across every state.\n",
    "3. Patients take time to succumb to COVID-19, so the mortality counts *today* reflect the case counts *7 days ago*.  E.g., mortality rate = (cumulative deaths today) / (cumulative cases 7 days ago).\n",
    "\n",
    "The model attempts to find the most likely relationship between state-wise test volume (per capita) and under-reporting, such that the true underlying mortality rates between the individual states are as similar as possible.  The model simultaneously finds the most likely posterior distribution of mortality rates, the most likely *true* case count per state, and the test volume vs. case underreporting relationship.\n",
    "\n",
    "[^1]: Full details about the model are available at:  https://github.com/jwrichar/COVID19-mortality"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "visualization-curriculum-gF8wUgMm",
   "language": "python",
   "name": "visualization-curriculum-gf8wugmm"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  },
  "papermill": {
   "duration": 289.966999,
   "end_time": "2020-04-28T12:13:00.378114",
   "environment_variables": {},
   "exception": null,
   "input_path": "2020-03-18-case-count-estimation-us-states.ipynb",
   "output_path": "2020-03-18-case-count-estimation-us-states.ipynb",
   "parameters": {},
   "start_time": "2020-04-28T12:08:10.411115",
   "version": "2.0.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}